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Finding the Fourth Proportional to 3,689.54, 5,096.56 and 2,948.70

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Solution

The fourth proportional to 3,689.54, 5,096.56 and 2,948.70 is: 4,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.54 : 5,096.56 = 2,948.70 : x
  2. Step 2: Convert to fraction form
    3,689.54/5,096.56 = 2,948.70/x
  3. Step 3: Cross multiply
    3,689.54x = 5,096.56 × 2,948.70
  4. Step 4: Simplify right side
    3,689.54x = 15,028,226.47
  5. Step 5: Solve for x
    x = 15,028,226.47/3,689.54
  6. Step 6: Final answer
    x = 4,073.20

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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.