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Finding the Fourth Proportional to 4,731.69, 7,085.12 and 3,337.46

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Solution

The fourth proportional to 4,731.69, 7,085.12 and 3,337.46 is: 4,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.69 : 7,085.12 = 3,337.46 : x
  2. Step 2: Convert to fraction form
    4,731.69/7,085.12 = 3,337.46/x
  3. Step 3: Cross multiply
    4,731.69x = 7,085.12 × 3,337.46
  4. Step 4: Simplify right side
    4,731.69x = 23,646,252.48
  5. Step 5: Solve for x
    x = 23,646,252.48/4,731.69
  6. Step 6: Final answer
    x = 4,997.42

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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.