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Finding the Fourth Proportional to 5,612.82, 7,742.16 and 3,254.10

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Solution

The fourth proportional to 5,612.82, 7,742.16 and 3,254.10 is: 4,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.82 : 7,742.16 = 3,254.10 : x
  2. Step 2: Convert to fraction form
    5,612.82/7,742.16 = 3,254.10/x
  3. Step 3: Cross multiply
    5,612.82x = 7,742.16 × 3,254.10
  4. Step 4: Simplify right side
    5,612.82x = 25,193,762.86
  5. Step 5: Solve for x
    x = 25,193,762.86/5,612.82
  6. Step 6: Final answer
    x = 4,488.61

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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.