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Finding the Fourth Proportional to 5,782.35, 7,979.67 and 3,129.76

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Solution

The fourth proportional to 5,782.35, 7,979.67 and 3,129.76 is: 4,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.35 : 7,979.67 = 3,129.76 : x
  2. Step 2: Convert to fraction form
    5,782.35/7,979.67 = 3,129.76/x
  3. Step 3: Cross multiply
    5,782.35x = 7,979.67 × 3,129.76
  4. Step 4: Simplify right side
    5,782.35x = 24,974,451.98
  5. Step 5: Solve for x
    x = 24,974,451.98/5,782.35
  6. Step 6: Final answer
    x = 4,319.08

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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.