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Finding the Fourth Proportional to 6,448.29, 8,897.09 and 4,089.57

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Solution

The fourth proportional to 6,448.29, 8,897.09 and 4,089.57 is: 5,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.29 : 8,897.09 = 4,089.57 : x
  2. Step 2: Convert to fraction form
    6,448.29/8,897.09 = 4,089.57/x
  3. Step 3: Cross multiply
    6,448.29x = 8,897.09 × 4,089.57
  4. Step 4: Simplify right side
    6,448.29x = 36,385,251.90
  5. Step 5: Solve for x
    x = 36,385,251.90/6,448.29
  6. Step 6: Final answer
    x = 5,642.62

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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.