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Finding the Fourth Proportional to 6,404.24, 8,839.32 and 5,354.48

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Solution

The fourth proportional to 6,404.24, 8,839.32 and 5,354.48 is: 7,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.24 : 8,839.32 = 5,354.48 : x
  2. Step 2: Convert to fraction form
    6,404.24/8,839.32 = 5,354.48/x
  3. Step 3: Cross multiply
    6,404.24x = 8,839.32 × 5,354.48
  4. Step 4: Simplify right side
    6,404.24x = 47,329,962.15
  5. Step 5: Solve for x
    x = 47,329,962.15/6,404.24
  6. Step 6: Final answer
    x = 7,390.41

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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.