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Finding the Fourth Proportional to 3,952.57, 5,926.87 and 1,319.16

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Solution

The fourth proportional to 3,952.57, 5,926.87 and 1,319.16 is: 1,978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.57 : 5,926.87 = 1,319.16 : x
  2. Step 2: Convert to fraction form
    3,952.57/5,926.87 = 1,319.16/x
  3. Step 3: Cross multiply
    3,952.57x = 5,926.87 × 1,319.16
  4. Step 4: Simplify right side
    3,952.57x = 7,818,489.83
  5. Step 5: Solve for x
    x = 7,818,489.83/3,952.57
  6. Step 6: Final answer
    x = 1,978.08

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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.