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Finding the Fourth Proportional to 3,710.96, 5,566.72 and 1,245.79

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Solution

The fourth proportional to 3,710.96, 5,566.72 and 1,245.79 is: 1,868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.96 : 5,566.72 = 1,245.79 : x
  2. Step 2: Convert to fraction form
    3,710.96/5,566.72 = 1,245.79/x
  3. Step 3: Cross multiply
    3,710.96x = 5,566.72 × 1,245.79
  4. Step 4: Simplify right side
    3,710.96x = 6,934,964.11
  5. Step 5: Solve for x
    x = 6,934,964.11/3,710.96
  6. Step 6: Final answer
    x = 1,868.78

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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.