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Finding the Fourth Proportional to 5,792.37, 8,702.40 and 3,716.45

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Solution

The fourth proportional to 5,792.37, 8,702.40 and 3,716.45 is: 5,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.37 : 8,702.40 = 3,716.45 : x
  2. Step 2: Convert to fraction form
    5,792.37/8,702.40 = 3,716.45/x
  3. Step 3: Cross multiply
    5,792.37x = 8,702.40 × 3,716.45
  4. Step 4: Simplify right side
    5,792.37x = 32,341,990.97
  5. Step 5: Solve for x
    x = 32,341,990.97/5,792.37
  6. Step 6: Final answer
    x = 5,583.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.