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Finding the Fourth Proportional to 5,102.40, 7,041.12 and 2,864.40

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Solution

The fourth proportional to 5,102.40, 7,041.12 and 2,864.40 is: 3,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.40 : 7,041.12 = 2,864.40 : x
  2. Step 2: Convert to fraction form
    5,102.40/7,041.12 = 2,864.40/x
  3. Step 3: Cross multiply
    5,102.40x = 7,041.12 × 2,864.40
  4. Step 4: Simplify right side
    5,102.40x = 20,168,584.13
  5. Step 5: Solve for x
    x = 20,168,584.13/5,102.40
  6. Step 6: Final answer
    x = 3,952.76

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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.