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Finding the Fourth Proportional to 6,175.86, 8,522.60 and 3,381.36

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Solution

The fourth proportional to 6,175.86, 8,522.60 and 3,381.36 is: 4,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.86 : 8,522.60 = 3,381.36 : x
  2. Step 2: Convert to fraction form
    6,175.86/8,522.60 = 3,381.36/x
  3. Step 3: Cross multiply
    6,175.86x = 8,522.60 × 3,381.36
  4. Step 4: Simplify right side
    6,175.86x = 28,817,978.74
  5. Step 5: Solve for x
    x = 28,817,978.74/6,175.86
  6. Step 6: Final answer
    x = 4,666.23

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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.