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Finding the Fourth Proportional to 5,894.78, 8,136.24 and 3,536.42

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Solution

The fourth proportional to 5,894.78, 8,136.24 and 3,536.42 is: 4,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.78 : 8,136.24 = 3,536.42 : x
  2. Step 2: Convert to fraction form
    5,894.78/8,136.24 = 3,536.42/x
  3. Step 3: Cross multiply
    5,894.78x = 8,136.24 × 3,536.42
  4. Step 4: Simplify right side
    5,894.78x = 28,773,161.86
  5. Step 5: Solve for x
    x = 28,773,161.86/5,894.78
  6. Step 6: Final answer
    x = 4,881.13

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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.