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Finding the Fourth Proportional to 3,643.11, 5,470.76 and 3,184.87

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Solution

The fourth proportional to 3,643.11, 5,470.76 and 3,184.87 is: 4,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.11 : 5,470.76 = 3,184.87 : x
  2. Step 2: Convert to fraction form
    3,643.11/5,470.76 = 3,184.87/x
  3. Step 3: Cross multiply
    3,643.11x = 5,470.76 × 3,184.87
  4. Step 4: Simplify right side
    3,643.11x = 17,423,616.12
  5. Step 5: Solve for x
    x = 17,423,616.12/3,643.11
  6. Step 6: Final answer
    x = 4,782.62

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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.