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Finding the Fourth Proportional to 3,725.78, 5,588.85 and 1,128.74

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Solution

The fourth proportional to 3,725.78, 5,588.85 and 1,128.74 is: 1,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.78 : 5,588.85 = 1,128.74 : x
  2. Step 2: Convert to fraction form
    3,725.78/5,588.85 = 1,128.74/x
  3. Step 3: Cross multiply
    3,725.78x = 5,588.85 × 1,128.74
  4. Step 4: Simplify right side
    3,725.78x = 6,308,358.55
  5. Step 5: Solve for x
    x = 6,308,358.55/3,725.78
  6. Step 6: Final answer
    x = 1,693.16

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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.