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Finding the Fourth Proportional to 4,713.66, 7,063.20 and 3,475.17

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Solution

The fourth proportional to 4,713.66, 7,063.20 and 3,475.17 is: 5,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.66 : 7,063.20 = 3,475.17 : x
  2. Step 2: Convert to fraction form
    4,713.66/7,063.20 = 3,475.17/x
  3. Step 3: Cross multiply
    4,713.66x = 7,063.20 × 3,475.17
  4. Step 4: Simplify right side
    4,713.66x = 24,545,820.74
  5. Step 5: Solve for x
    x = 24,545,820.74/4,713.66
  6. Step 6: Final answer
    x = 5,207.38

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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.