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Finding the Fourth Proportional to 5,825.76, 8,040.24 and 3,342.24

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Solution

The fourth proportional to 5,825.76, 8,040.24 and 3,342.24 is: 4,612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.76 : 8,040.24 = 3,342.24 : x
  2. Step 2: Convert to fraction form
    5,825.76/8,040.24 = 3,342.24/x
  3. Step 3: Cross multiply
    5,825.76x = 8,040.24 × 3,342.24
  4. Step 4: Simplify right side
    5,825.76x = 26,872,411.74
  5. Step 5: Solve for x
    x = 26,872,411.74/5,825.76
  6. Step 6: Final answer
    x = 4,612.69

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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.