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Finding the Fourth Proportional to 6,545.88, 9,035.15 and 4,028.40

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Solution

The fourth proportional to 6,545.88, 9,035.15 and 4,028.40 is: 5,560.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.88 : 9,035.15 = 4,028.40 : x
  2. Step 2: Convert to fraction form
    6,545.88/9,035.15 = 4,028.40/x
  3. Step 3: Cross multiply
    6,545.88x = 9,035.15 × 4,028.40
  4. Step 4: Simplify right side
    6,545.88x = 36,397,178.12
  5. Step 5: Solve for x
    x = 36,397,178.12/6,545.88
  6. Step 6: Final answer
    x = 5,560.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.