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Finding the Fourth Proportional to 3,710.56, 5,538.76 and 3,439.84

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Solution

The fourth proportional to 3,710.56, 5,538.76 and 3,439.84 is: 5,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.56 : 5,538.76 = 3,439.84 : x
  2. Step 2: Convert to fraction form
    3,710.56/5,538.76 = 3,439.84/x
  3. Step 3: Cross multiply
    3,710.56x = 5,538.76 × 3,439.84
  4. Step 4: Simplify right side
    3,710.56x = 19,052,448.20
  5. Step 5: Solve for x
    x = 19,052,448.20/3,710.56
  6. Step 6: Final answer
    x = 5,134.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.