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Finding the Fourth Proportional to 5,885.78, 8,121.85 and 3,495.57

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Solution

The fourth proportional to 5,885.78, 8,121.85 and 3,495.57 is: 4,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.78 : 8,121.85 = 3,495.57 : x
  2. Step 2: Convert to fraction form
    5,885.78/8,121.85 = 3,495.57/x
  3. Step 3: Cross multiply
    5,885.78x = 8,121.85 × 3,495.57
  4. Step 4: Simplify right side
    5,885.78x = 28,390,456.01
  5. Step 5: Solve for x
    x = 28,390,456.01/5,885.78
  6. Step 6: Final answer
    x = 4,823.57

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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.