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Finding the Fourth Proportional to 5,568.04, 7,666.41 and 4,727

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Solution

The fourth proportional to 5,568.04, 7,666.41 and 4,727 is: 6,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.04 : 7,666.41 = 4,727 : x
  2. Step 2: Convert to fraction form
    5,568.04/7,666.41 = 4,727/x
  3. Step 3: Cross multiply
    5,568.04x = 7,666.41 × 4,727
  4. Step 4: Simplify right side
    5,568.04x = 36,239,120.07
  5. Step 5: Solve for x
    x = 36,239,120.07/5,568.04
  6. Step 6: Final answer
    x = 6,508.42

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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.