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Finding the Fourth Proportional to 4,337.76, 5,976 and 3,547.20

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Solution

The fourth proportional to 4,337.76, 5,976 and 3,547.20 is: 4,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.76 : 5,976 = 3,547.20 : x
  2. Step 2: Convert to fraction form
    4,337.76/5,976 = 3,547.20/x
  3. Step 3: Cross multiply
    4,337.76x = 5,976 × 3,547.20
  4. Step 4: Simplify right side
    4,337.76x = 21,198,067.20
  5. Step 5: Solve for x
    x = 21,198,067.20/4,337.76
  6. Step 6: Final answer
    x = 4,886.87

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1.5x scale

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.