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Finding the Fourth Proportional to 6,007.97, 8,291.46 and 4,421.88

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Solution

The fourth proportional to 6,007.97, 8,291.46 and 4,421.88 is: 6,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.97 : 8,291.46 = 4,421.88 : x
  2. Step 2: Convert to fraction form
    6,007.97/8,291.46 = 4,421.88/x
  3. Step 3: Cross multiply
    6,007.97x = 8,291.46 × 4,421.88
  4. Step 4: Simplify right side
    6,007.97x = 36,663,841.14
  5. Step 5: Solve for x
    x = 36,663,841.14/6,007.97
  6. Step 6: Final answer
    x = 6,102.53

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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.