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Finding the Fourth Proportional to 5,642.58, 8,478.90 and 5,287.89

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Solution

The fourth proportional to 5,642.58, 8,478.90 and 5,287.89 is: 7,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.58 : 8,478.90 = 5,287.89 : x
  2. Step 2: Convert to fraction form
    5,642.58/8,478.90 = 5,287.89/x
  3. Step 3: Cross multiply
    5,642.58x = 8,478.90 × 5,287.89
  4. Step 4: Simplify right side
    5,642.58x = 44,835,490.52
  5. Step 5: Solve for x
    x = 44,835,490.52/5,642.58
  6. Step 6: Final answer
    x = 7,945.92

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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.