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Finding the Fourth Proportional to 5,057.60, 7,575.60 and 4,193.60

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Solution

The fourth proportional to 5,057.60, 7,575.60 and 4,193.60 is: 6,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.60 : 7,575.60 = 4,193.60 : x
  2. Step 2: Convert to fraction form
    5,057.60/7,575.60 = 4,193.60/x
  3. Step 3: Cross multiply
    5,057.60x = 7,575.60 × 4,193.60
  4. Step 4: Simplify right side
    5,057.60x = 31,769,036.16
  5. Step 5: Solve for x
    x = 31,769,036.16/5,057.60
  6. Step 6: Final answer
    x = 6,281.44

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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.