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Finding the Fourth Proportional to 3,463.16, 4,779.16 and 2,136.86

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Solution

The fourth proportional to 3,463.16, 4,779.16 and 2,136.86 is: 2,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.16 : 4,779.16 = 2,136.86 : x
  2. Step 2: Convert to fraction form
    3,463.16/4,779.16 = 2,136.86/x
  3. Step 3: Cross multiply
    3,463.16x = 4,779.16 × 2,136.86
  4. Step 4: Simplify right side
    3,463.16x = 10,212,385.15
  5. Step 5: Solve for x
    x = 10,212,385.15/3,463.16
  6. Step 6: Final answer
    x = 2,948.87

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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.