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Finding the Fourth Proportional to 6,175.35, 8,522.01 and 3,657.42

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Solution

The fourth proportional to 6,175.35, 8,522.01 and 3,657.42 is: 5,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.35 : 8,522.01 = 3,657.42 : x
  2. Step 2: Convert to fraction form
    6,175.35/8,522.01 = 3,657.42/x
  3. Step 3: Cross multiply
    6,175.35x = 8,522.01 × 3,657.42
  4. Step 4: Simplify right side
    6,175.35x = 31,168,569.81
  5. Step 5: Solve for x
    x = 31,168,569.81/6,175.35
  6. Step 6: Final answer
    x = 5,047.26

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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.