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Finding the Fourth Proportional to 3,136.94, 4,328.66 and 1,877.74

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Solution

The fourth proportional to 3,136.94, 4,328.66 and 1,877.74 is: 2,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.94 : 4,328.66 = 1,877.74 : x
  2. Step 2: Convert to fraction form
    3,136.94/4,328.66 = 1,877.74/x
  3. Step 3: Cross multiply
    3,136.94x = 4,328.66 × 1,877.74
  4. Step 4: Simplify right side
    3,136.94x = 8,128,098.03
  5. Step 5: Solve for x
    x = 8,128,098.03/3,136.94
  6. Step 6: Final answer
    x = 2,591.09

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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.