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Finding the Fourth Proportional to 5,770.14, 7,960.02 and 4,972.08

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Solution

The fourth proportional to 5,770.14, 7,960.02 and 4,972.08 is: 6,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.14 : 7,960.02 = 4,972.08 : x
  2. Step 2: Convert to fraction form
    5,770.14/7,960.02 = 4,972.08/x
  3. Step 3: Cross multiply
    5,770.14x = 7,960.02 × 4,972.08
  4. Step 4: Simplify right side
    5,770.14x = 39,577,856.24
  5. Step 5: Solve for x
    x = 39,577,856.24/5,770.14
  6. Step 6: Final answer
    x = 6,859.08

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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.