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Finding the Fourth Proportional to 4,651.66, 6,419.20 and 2,527.13

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Solution

The fourth proportional to 4,651.66, 6,419.20 and 2,527.13 is: 3,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.66 : 6,419.20 = 2,527.13 : x
  2. Step 2: Convert to fraction form
    4,651.66/6,419.20 = 2,527.13/x
  3. Step 3: Cross multiply
    4,651.66x = 6,419.20 × 2,527.13
  4. Step 4: Simplify right side
    4,651.66x = 16,222,167.36
  5. Step 5: Solve for x
    x = 16,222,167.36/4,651.66
  6. Step 6: Final answer
    x = 3,487.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.