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Finding the Fourth Proportional to 3,644.18, 5,465.42 and 1,452.32

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Solution

The fourth proportional to 3,644.18, 5,465.42 and 1,452.32 is: 2,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.18 : 5,465.42 = 1,452.32 : x
  2. Step 2: Convert to fraction form
    3,644.18/5,465.42 = 1,452.32/x
  3. Step 3: Cross multiply
    3,644.18x = 5,465.42 × 1,452.32
  4. Step 4: Simplify right side
    3,644.18x = 7,937,538.77
  5. Step 5: Solve for x
    x = 7,937,538.77/3,644.18
  6. Step 6: Final answer
    x = 2,178.14

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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.