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Finding the Fourth Proportional to 6,545.50, 9,029.80 and 3,891.40

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Solution

The fourth proportional to 6,545.50, 9,029.80 and 3,891.40 is: 5,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.50 : 9,029.80 = 3,891.40 : x
  2. Step 2: Convert to fraction form
    6,545.50/9,029.80 = 3,891.40/x
  3. Step 3: Cross multiply
    6,545.50x = 9,029.80 × 3,891.40
  4. Step 4: Simplify right side
    6,545.50x = 35,138,563.72
  5. Step 5: Solve for x
    x = 35,138,563.72/6,545.50
  6. Step 6: Final answer
    x = 5,368.35

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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.