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Finding the Fourth Proportional to 4,689.13, 6,470.28 and 2,699.30

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Solution

The fourth proportional to 4,689.13, 6,470.28 and 2,699.30 is: 3,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.13 : 6,470.28 = 2,699.30 : x
  2. Step 2: Convert to fraction form
    4,689.13/6,470.28 = 2,699.30/x
  3. Step 3: Cross multiply
    4,689.13x = 6,470.28 × 2,699.30
  4. Step 4: Simplify right side
    4,689.13x = 17,465,250.57
  5. Step 5: Solve for x
    x = 17,465,250.57/4,689.13
  6. Step 6: Final answer
    x = 3,724.62

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