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Finding the Fourth Proportional to 6,264.50, 8,645.28 and 3,470

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Solution

The fourth proportional to 6,264.50, 8,645.28 and 3,470 is: 4,788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.50 : 8,645.28 = 3,470 : x
  2. Step 2: Convert to fraction form
    6,264.50/8,645.28 = 3,470/x
  3. Step 3: Cross multiply
    6,264.50x = 8,645.28 × 3,470
  4. Step 4: Simplify right side
    6,264.50x = 29,999,121.60
  5. Step 5: Solve for x
    x = 29,999,121.60/6,264.50
  6. Step 6: Final answer
    x = 4,788.75

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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.