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Finding the Fourth Proportional to 6,409,753.48, 8,845,461.80 and 3,509,328.57

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Solution

The fourth proportional to 6,409,753.48, 8,845,461.80 and 3,509,328.57 is: 4,842,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409,753.48 : 8,845,461.80 = 3,509,328.57 : x
  2. Step 2: Convert to fraction form
    6,409,753.48/8,845,461.80 = 3,509,328.57/x
  3. Step 3: Cross multiply
    6,409,753.48x = 8,845,461.80 × 3,509,328.57
  4. Step 4: Simplify right side
    6,409,753.48x = 31,041,631,747,809.67
  5. Step 5: Solve for x
    x = 31,041,631,747,809.67/6,409,753.48
  6. Step 6: Final answer
    x = 4,842,874.51

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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.