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Finding the Fourth Proportional to 5,140.32, 7,713.18 and 2,802

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Solution

The fourth proportional to 5,140.32, 7,713.18 and 2,802 is: 4,204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.32 : 7,713.18 = 2,802 : x
  2. Step 2: Convert to fraction form
    5,140.32/7,713.18 = 2,802/x
  3. Step 3: Cross multiply
    5,140.32x = 7,713.18 × 2,802
  4. Step 4: Simplify right side
    5,140.32x = 21,612,330.36
  5. Step 5: Solve for x
    x = 21,612,330.36/5,140.32
  6. Step 6: Final answer
    x = 4,204.47

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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.