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Finding the Fourth Proportional to 5,359.44, 8,029.43 and 5,242.80

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Solution

The fourth proportional to 5,359.44, 8,029.43 and 5,242.80 is: 7,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.44 : 8,029.43 = 5,242.80 : x
  2. Step 2: Convert to fraction form
    5,359.44/8,029.43 = 5,242.80/x
  3. Step 3: Cross multiply
    5,359.44x = 8,029.43 × 5,242.80
  4. Step 4: Simplify right side
    5,359.44x = 42,096,695.60
  5. Step 5: Solve for x
    x = 42,096,695.60/5,359.44
  6. Step 6: Final answer
    x = 7,854.68

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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.