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Finding the Fourth Proportional to 5,642.40, 8,455.36 and 5,330.80

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Solution

The fourth proportional to 5,642.40, 8,455.36 and 5,330.80 is: 7,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.40 : 8,455.36 = 5,330.80 : x
  2. Step 2: Convert to fraction form
    5,642.40/8,455.36 = 5,330.80/x
  3. Step 3: Cross multiply
    5,642.40x = 8,455.36 × 5,330.80
  4. Step 4: Simplify right side
    5,642.40x = 45,073,833.09
  5. Step 5: Solve for x
    x = 45,073,833.09/5,642.40
  6. Step 6: Final answer
    x = 7,988.42

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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.