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Finding the Fourth Proportional to 4,359, 6,031.20 and 3,800.64

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Solution

The fourth proportional to 4,359, 6,031.20 and 3,800.64 is: 5,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359 : 6,031.20 = 3,800.64 : x
  2. Step 2: Convert to fraction form
    4,359/6,031.20 = 3,800.64/x
  3. Step 3: Cross multiply
    4,359x = 6,031.20 × 3,800.64
  4. Step 4: Simplify right side
    4,359x = 22,922,419.97
  5. Step 5: Solve for x
    x = 22,922,419.97/4,359
  6. Step 6: Final answer
    x = 5,258.64

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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.