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Finding the Fourth Proportional to 4,545.26, 6,821.54 and 2,354.62

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Solution

The fourth proportional to 4,545.26, 6,821.54 and 2,354.62 is: 3,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,545.26 : 6,821.54 = 2,354.62 : x
  2. Step 2: Convert to fraction form
    4,545.26/6,821.54 = 2,354.62/x
  3. Step 3: Cross multiply
    4,545.26x = 6,821.54 × 2,354.62
  4. Step 4: Simplify right side
    4,545.26x = 16,062,133.93
  5. Step 5: Solve for x
    x = 16,062,133.93/4,545.26
  6. Step 6: Final answer
    x = 3,533.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.