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Finding the Fourth Proportional to 3,792.96, 5,254.61 and 3,702.24

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Solution

The fourth proportional to 3,792.96, 5,254.61 and 3,702.24 is: 5,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.96 : 5,254.61 = 3,702.24 : x
  2. Step 2: Convert to fraction form
    3,792.96/5,254.61 = 3,702.24/x
  3. Step 3: Cross multiply
    3,792.96x = 5,254.61 × 3,702.24
  4. Step 4: Simplify right side
    3,792.96x = 19,453,808.82
  5. Step 5: Solve for x
    x = 19,453,808.82/3,792.96
  6. Step 6: Final answer
    x = 5,128.93

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.