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Finding the Fourth Proportional to 4,713.59, 7,076.15 and 2,217.17

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Solution

The fourth proportional to 4,713.59, 7,076.15 and 2,217.17 is: 3,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.59 : 7,076.15 = 2,217.17 : x
  2. Step 2: Convert to fraction form
    4,713.59/7,076.15 = 2,217.17/x
  3. Step 3: Cross multiply
    4,713.59x = 7,076.15 × 2,217.17
  4. Step 4: Simplify right side
    4,713.59x = 15,689,027.50
  5. Step 5: Solve for x
    x = 15,689,027.50/4,713.59
  6. Step 6: Final answer
    x = 3,328.47

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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.