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Finding the Fourth Proportional to 4,666.10, 6,432.09 and 4,039.70

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Solution

The fourth proportional to 4,666.10, 6,432.09 and 4,039.70 is: 5,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.10 : 6,432.09 = 4,039.70 : x
  2. Step 2: Convert to fraction form
    4,666.10/6,432.09 = 4,039.70/x
  3. Step 3: Cross multiply
    4,666.10x = 6,432.09 × 4,039.70
  4. Step 4: Simplify right side
    4,666.10x = 25,983,713.97
  5. Step 5: Solve for x
    x = 25,983,713.97/4,666.10
  6. Step 6: Final answer
    x = 5,568.61

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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.