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Finding the Fourth Proportional to 6,460,689.82, 8,915,752.74 and 3,746,010.46

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Solution

The fourth proportional to 6,460,689.82, 8,915,752.74 and 3,746,010.46 is: 5,169,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460,689.82 : 8,915,752.74 = 3,746,010.46 : x
  2. Step 2: Convert to fraction form
    6,460,689.82/8,915,752.74 = 3,746,010.46/x
  3. Step 3: Cross multiply
    6,460,689.82x = 8,915,752.74 × 3,746,010.46
  4. Step 4: Simplify right side
    6,460,689.82x = 33,398,503,022,813.66
  5. Step 5: Solve for x
    x = 33,398,503,022,813.66/6,460,689.82
  6. Step 6: Final answer
    x = 5,169,494.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.