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Finding the Fourth Proportional to 5,698.62, 8,542.65 and 2,919.17

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Solution

The fourth proportional to 5,698.62, 8,542.65 and 2,919.17 is: 4,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.62 : 8,542.65 = 2,919.17 : x
  2. Step 2: Convert to fraction form
    5,698.62/8,542.65 = 2,919.17/x
  3. Step 3: Cross multiply
    5,698.62x = 8,542.65 × 2,919.17
  4. Step 4: Simplify right side
    5,698.62x = 24,937,447.60
  5. Step 5: Solve for x
    x = 24,937,447.60/5,698.62
  6. Step 6: Final answer
    x = 4,376.05

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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.