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Finding the Fourth Proportional to 3,482.38, 4,803.90 and 2,287.20

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Solution

The fourth proportional to 3,482.38, 4,803.90 and 2,287.20 is: 3,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.38 : 4,803.90 = 2,287.20 : x
  2. Step 2: Convert to fraction form
    3,482.38/4,803.90 = 2,287.20/x
  3. Step 3: Cross multiply
    3,482.38x = 4,803.90 × 2,287.20
  4. Step 4: Simplify right side
    3,482.38x = 10,987,480.08
  5. Step 5: Solve for x
    x = 10,987,480.08/3,482.38
  6. Step 6: Final answer
    x = 3,155.16

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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.