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Finding the Fourth Proportional to 5,739.32, 7,919.98 and 3,254.84

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Solution

The fourth proportional to 5,739.32, 7,919.98 and 3,254.84 is: 4,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.32 : 7,919.98 = 3,254.84 : x
  2. Step 2: Convert to fraction form
    5,739.32/7,919.98 = 3,254.84/x
  3. Step 3: Cross multiply
    5,739.32x = 7,919.98 × 3,254.84
  4. Step 4: Simplify right side
    5,739.32x = 25,778,267.70
  5. Step 5: Solve for x
    x = 25,778,267.70/5,739.32
  6. Step 6: Final answer
    x = 4,491.52

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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.