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Finding the Fourth Proportional to 3,442.62, 4,747.74 and 2,852.12

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Solution

The fourth proportional to 3,442.62, 4,747.74 and 2,852.12 is: 3,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.62 : 4,747.74 = 2,852.12 : x
  2. Step 2: Convert to fraction form
    3,442.62/4,747.74 = 2,852.12/x
  3. Step 3: Cross multiply
    3,442.62x = 4,747.74 × 2,852.12
  4. Step 4: Simplify right side
    3,442.62x = 13,541,124.21
  5. Step 5: Solve for x
    x = 13,541,124.21/3,442.62
  6. Step 6: Final answer
    x = 3,933.38

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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.