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Finding the Fourth Proportional to 4,943.16, 7,410.78 and 2,476.71

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Solution

The fourth proportional to 4,943.16, 7,410.78 and 2,476.71 is: 3,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.16 : 7,410.78 = 2,476.71 : x
  2. Step 2: Convert to fraction form
    4,943.16/7,410.78 = 2,476.71/x
  3. Step 3: Cross multiply
    4,943.16x = 7,410.78 × 2,476.71
  4. Step 4: Simplify right side
    4,943.16x = 18,354,352.93
  5. Step 5: Solve for x
    x = 18,354,352.93/4,943.16
  6. Step 6: Final answer
    x = 3,713.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.