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Finding the Fourth Proportional to 3,136.70, 4,328.53 and 1,877.49

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Solution

The fourth proportional to 3,136.70, 4,328.53 and 1,877.49 is: 2,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.70 : 4,328.53 = 1,877.49 : x
  2. Step 2: Convert to fraction form
    3,136.70/4,328.53 = 1,877.49/x
  3. Step 3: Cross multiply
    3,136.70x = 4,328.53 × 1,877.49
  4. Step 4: Simplify right side
    3,136.70x = 8,126,767.10
  5. Step 5: Solve for x
    x = 8,126,767.10/3,136.70
  6. Step 6: Final answer
    x = 2,590.86

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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.