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Finding the Fourth Proportional to 5,465.16, 8,202.62 and 2,545.40

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Solution

The fourth proportional to 5,465.16, 8,202.62 and 2,545.40 is: 3,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.16 : 8,202.62 = 2,545.40 : x
  2. Step 2: Convert to fraction form
    5,465.16/8,202.62 = 2,545.40/x
  3. Step 3: Cross multiply
    5,465.16x = 8,202.62 × 2,545.40
  4. Step 4: Simplify right side
    5,465.16x = 20,878,948.95
  5. Step 5: Solve for x
    x = 20,878,948.95/5,465.16
  6. Step 6: Final answer
    x = 3,820.37

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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.