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Finding the Fourth Proportional to 3,574.71, 5,373 and 3,498.15

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Solution

The fourth proportional to 3,574.71, 5,373 and 3,498.15 is: 5,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.71 : 5,373 = 3,498.15 : x
  2. Step 2: Convert to fraction form
    3,574.71/5,373 = 3,498.15/x
  3. Step 3: Cross multiply
    3,574.71x = 5,373 × 3,498.15
  4. Step 4: Simplify right side
    3,574.71x = 18,795,559.95
  5. Step 5: Solve for x
    x = 18,795,559.95/3,574.71
  6. Step 6: Final answer
    x = 5,257.93

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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.