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Finding the Fourth Proportional to 5,606.78, 8,411.27 and 1,658.10

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Solution

The fourth proportional to 5,606.78, 8,411.27 and 1,658.10 is: 2,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.78 : 8,411.27 = 1,658.10 : x
  2. Step 2: Convert to fraction form
    5,606.78/8,411.27 = 1,658.10/x
  3. Step 3: Cross multiply
    5,606.78x = 8,411.27 × 1,658.10
  4. Step 4: Simplify right side
    5,606.78x = 13,946,726.79
  5. Step 5: Solve for x
    x = 13,946,726.79/5,606.78
  6. Step 6: Final answer
    x = 2,487.48

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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.