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Finding the Fourth Proportional to 3,898.72, 5,848.14 and 1,434.12

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Solution

The fourth proportional to 3,898.72, 5,848.14 and 1,434.12 is: 2,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.72 : 5,848.14 = 1,434.12 : x
  2. Step 2: Convert to fraction form
    3,898.72/5,848.14 = 1,434.12/x
  3. Step 3: Cross multiply
    3,898.72x = 5,848.14 × 1,434.12
  4. Step 4: Simplify right side
    3,898.72x = 8,386,934.54
  5. Step 5: Solve for x
    x = 8,386,934.54/3,898.72
  6. Step 6: Final answer
    x = 2,151.20

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1.5x scale

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.