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Finding the Fourth Proportional to 3,643.47, 5,465.61 and 1,334.97

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Solution

The fourth proportional to 3,643.47, 5,465.61 and 1,334.97 is: 2,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.47 : 5,465.61 = 1,334.97 : x
  2. Step 2: Convert to fraction form
    3,643.47/5,465.61 = 1,334.97/x
  3. Step 3: Cross multiply
    3,643.47x = 5,465.61 × 1,334.97
  4. Step 4: Simplify right side
    3,643.47x = 7,296,425.38
  5. Step 5: Solve for x
    x = 7,296,425.38/3,643.47
  6. Step 6: Final answer
    x = 2,002.60

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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.