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Finding the Fourth Proportional to 3,865.70, 5,332.28 and 2,373.06

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Solution

The fourth proportional to 3,865.70, 5,332.28 and 2,373.06 is: 3,273.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.70 : 5,332.28 = 2,373.06 : x
  2. Step 2: Convert to fraction form
    3,865.70/5,332.28 = 2,373.06/x
  3. Step 3: Cross multiply
    3,865.70x = 5,332.28 × 2,373.06
  4. Step 4: Simplify right side
    3,865.70x = 12,653,820.38
  5. Step 5: Solve for x
    x = 12,653,820.38/3,865.70
  6. Step 6: Final answer
    x = 3,273.36

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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.