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Finding the Fourth Proportional to 5,601.60, 7,735.72 and 5,076.72

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Solution

The fourth proportional to 5,601.60, 7,735.72 and 5,076.72 is: 7,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.60 : 7,735.72 = 5,076.72 : x
  2. Step 2: Convert to fraction form
    5,601.60/7,735.72 = 5,076.72/x
  3. Step 3: Cross multiply
    5,601.60x = 7,735.72 × 5,076.72
  4. Step 4: Simplify right side
    5,601.60x = 39,272,084.44
  5. Step 5: Solve for x
    x = 39,272,084.44/5,601.60
  6. Step 6: Final answer
    x = 7,010.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.