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Finding the Fourth Proportional to 3,643.81, 5,465.73 and 1,452.53

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Solution

The fourth proportional to 3,643.81, 5,465.73 and 1,452.53 is: 2,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.81 : 5,465.73 = 1,452.53 : x
  2. Step 2: Convert to fraction form
    3,643.81/5,465.73 = 1,452.53/x
  3. Step 3: Cross multiply
    3,643.81x = 5,465.73 × 1,452.53
  4. Step 4: Simplify right side
    3,643.81x = 7,939,155.91
  5. Step 5: Solve for x
    x = 7,939,155.91/3,643.81
  6. Step 6: Final answer
    x = 2,178.81

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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.