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Finding the Fourth Proportional to 5,482, 7,565.16 and 2,998

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Solution

The fourth proportional to 5,482, 7,565.16 and 2,998 is: 4,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482 : 7,565.16 = 2,998 : x
  2. Step 2: Convert to fraction form
    5,482/7,565.16 = 2,998/x
  3. Step 3: Cross multiply
    5,482x = 7,565.16 × 2,998
  4. Step 4: Simplify right side
    5,482x = 22,680,349.68
  5. Step 5: Solve for x
    x = 22,680,349.68/5,482
  6. Step 6: Final answer
    x = 4,137.24

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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.