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Finding the Fourth Proportional to 5,188.64, 7,125.52 and 4,442.64

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Solution

The fourth proportional to 5,188.64, 7,125.52 and 4,442.64 is: 6,101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.64 : 7,125.52 = 4,442.64 : x
  2. Step 2: Convert to fraction form
    5,188.64/7,125.52 = 4,442.64/x
  3. Step 3: Cross multiply
    5,188.64x = 7,125.52 × 4,442.64
  4. Step 4: Simplify right side
    5,188.64x = 31,656,120.17
  5. Step 5: Solve for x
    x = 31,656,120.17/5,188.64
  6. Step 6: Final answer
    x = 6,101.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.