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Finding the Fourth Proportional to 3,589.74, 5,386.68 and 1,614.78

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Solution

The fourth proportional to 3,589.74, 5,386.68 and 1,614.78 is: 2,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.74 : 5,386.68 = 1,614.78 : x
  2. Step 2: Convert to fraction form
    3,589.74/5,386.68 = 1,614.78/x
  3. Step 3: Cross multiply
    3,589.74x = 5,386.68 × 1,614.78
  4. Step 4: Simplify right side
    3,589.74x = 8,698,303.13
  5. Step 5: Solve for x
    x = 8,698,303.13/3,589.74
  6. Step 6: Final answer
    x = 2,423.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.