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Finding the Fourth Proportional to 3,752.94, 5,641.56 and 3,482.40

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Solution

The fourth proportional to 3,752.94, 5,641.56 and 3,482.40 is: 5,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.94 : 5,641.56 = 3,482.40 : x
  2. Step 2: Convert to fraction form
    3,752.94/5,641.56 = 3,482.40/x
  3. Step 3: Cross multiply
    3,752.94x = 5,641.56 × 3,482.40
  4. Step 4: Simplify right side
    3,752.94x = 19,646,168.54
  5. Step 5: Solve for x
    x = 19,646,168.54/3,752.94
  6. Step 6: Final answer
    x = 5,234.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.