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Finding the Fourth Proportional to 3,538.52, 4,883.28 and 1,966.76

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Solution

The fourth proportional to 3,538.52, 4,883.28 and 1,966.76 is: 2,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.52 : 4,883.28 = 1,966.76 : x
  2. Step 2: Convert to fraction form
    3,538.52/4,883.28 = 1,966.76/x
  3. Step 3: Cross multiply
    3,538.52x = 4,883.28 × 1,966.76
  4. Step 4: Simplify right side
    3,538.52x = 9,604,239.77
  5. Step 5: Solve for x
    x = 9,604,239.77/3,538.52
  6. Step 6: Final answer
    x = 2,714.20

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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.