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Finding the Fourth Proportional to 3,606.72, 5,411.88 and 1,658.40

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Solution

The fourth proportional to 3,606.72, 5,411.88 and 1,658.40 is: 2,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.72 : 5,411.88 = 1,658.40 : x
  2. Step 2: Convert to fraction form
    3,606.72/5,411.88 = 1,658.40/x
  3. Step 3: Cross multiply
    3,606.72x = 5,411.88 × 1,658.40
  4. Step 4: Simplify right side
    3,606.72x = 8,975,061.79
  5. Step 5: Solve for x
    x = 8,975,061.79/3,606.72
  6. Step 6: Final answer
    x = 2,488.43

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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.