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Finding the Fourth Proportional to 5,291.57, 7,285.70 and 4,493.31

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Solution

The fourth proportional to 5,291.57, 7,285.70 and 4,493.31 is: 6,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.57 : 7,285.70 = 4,493.31 : x
  2. Step 2: Convert to fraction form
    5,291.57/7,285.70 = 4,493.31/x
  3. Step 3: Cross multiply
    5,291.57x = 7,285.70 × 4,493.31
  4. Step 4: Simplify right side
    5,291.57x = 32,736,886.20
  5. Step 5: Solve for x
    x = 32,736,886.20/5,291.57
  6. Step 6: Final answer
    x = 6,186.62

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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.