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Finding the Fourth Proportional to 5,175, 7,759.26 and 3,417.84

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Solution

The fourth proportional to 5,175, 7,759.26 and 3,417.84 is: 5,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175 : 7,759.26 = 3,417.84 : x
  2. Step 2: Convert to fraction form
    5,175/7,759.26 = 3,417.84/x
  3. Step 3: Cross multiply
    5,175x = 7,759.26 × 3,417.84
  4. Step 4: Simplify right side
    5,175x = 26,519,909.20
  5. Step 5: Solve for x
    x = 26,519,909.20/5,175
  6. Step 6: Final answer
    x = 5,124.62

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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.