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Finding the Fourth Proportional to 4,545.62, 6,804.40 and 3,881.42

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Solution

The fourth proportional to 4,545.62, 6,804.40 and 3,881.42 is: 5,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,545.62 : 6,804.40 = 3,881.42 : x
  2. Step 2: Convert to fraction form
    4,545.62/6,804.40 = 3,881.42/x
  3. Step 3: Cross multiply
    4,545.62x = 6,804.40 × 3,881.42
  4. Step 4: Simplify right side
    4,545.62x = 26,410,734.25
  5. Step 5: Solve for x
    x = 26,410,734.25/4,545.62
  6. Step 6: Final answer
    x = 5,810.15

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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.