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Finding the Fourth Proportional to 3,614.35, 5,423.08 and 1,535.76

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Solution

The fourth proportional to 3,614.35, 5,423.08 and 1,535.76 is: 2,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.35 : 5,423.08 = 1,535.76 : x
  2. Step 2: Convert to fraction form
    3,614.35/5,423.08 = 1,535.76/x
  3. Step 3: Cross multiply
    3,614.35x = 5,423.08 × 1,535.76
  4. Step 4: Simplify right side
    3,614.35x = 8,328,549.34
  5. Step 5: Solve for x
    x = 8,328,549.34/3,614.35
  6. Step 6: Final answer
    x = 2,304.30

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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.