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Finding the Fourth Proportional to 5,752.95, 7,938.50 and 3,234.66

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Solution

The fourth proportional to 5,752.95, 7,938.50 and 3,234.66 is: 4,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.95 : 7,938.50 = 3,234.66 : x
  2. Step 2: Convert to fraction form
    5,752.95/7,938.50 = 3,234.66/x
  3. Step 3: Cross multiply
    5,752.95x = 7,938.50 × 3,234.66
  4. Step 4: Simplify right side
    5,752.95x = 25,678,332.24
  5. Step 5: Solve for x
    x = 25,678,332.24/5,752.95
  6. Step 6: Final answer
    x = 4,463.51

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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.