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Finding the Fourth Proportional to 6,188.84, 8,542.54 and 4,175.17

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Solution

The fourth proportional to 6,188.84, 8,542.54 and 4,175.17 is: 5,763.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.84 : 8,542.54 = 4,175.17 : x
  2. Step 2: Convert to fraction form
    6,188.84/8,542.54 = 4,175.17/x
  3. Step 3: Cross multiply
    6,188.84x = 8,542.54 × 4,175.17
  4. Step 4: Simplify right side
    6,188.84x = 35,666,552.88
  5. Step 5: Solve for x
    x = 35,666,552.88/6,188.84
  6. Step 6: Final answer
    x = 5,763.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.