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Finding the Fourth Proportional to 3,642.39, 5,463.59 and 1,143.60

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Solution

The fourth proportional to 3,642.39, 5,463.59 and 1,143.60 is: 1,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.39 : 5,463.59 = 1,143.60 : x
  2. Step 2: Convert to fraction form
    3,642.39/5,463.59 = 1,143.60/x
  3. Step 3: Cross multiply
    3,642.39x = 5,463.59 × 1,143.60
  4. Step 4: Simplify right side
    3,642.39x = 6,248,155.81
  5. Step 5: Solve for x
    x = 6,248,155.81/3,642.39
  6. Step 6: Final answer
    x = 1,715.40

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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.