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Finding the Fourth Proportional to 5,047.31, 6,965.29 and 2,952.65

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Solution

The fourth proportional to 5,047.31, 6,965.29 and 2,952.65 is: 4,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.31 : 6,965.29 = 2,952.65 : x
  2. Step 2: Convert to fraction form
    5,047.31/6,965.29 = 2,952.65/x
  3. Step 3: Cross multiply
    5,047.31x = 6,965.29 × 2,952.65
  4. Step 4: Simplify right side
    5,047.31x = 20,566,084.62
  5. Step 5: Solve for x
    x = 20,566,084.62/5,047.31
  6. Step 6: Final answer
    x = 4,074.66

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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.