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Finding the Fourth Proportional to 3,136.16, 4,327.95 and 1,719.83

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Solution

The fourth proportional to 3,136.16, 4,327.95 and 1,719.83 is: 2,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.16 : 4,327.95 = 1,719.83 : x
  2. Step 2: Convert to fraction form
    3,136.16/4,327.95 = 1,719.83/x
  3. Step 3: Cross multiply
    3,136.16x = 4,327.95 × 1,719.83
  4. Step 4: Simplify right side
    3,136.16x = 7,443,338.25
  5. Step 5: Solve for x
    x = 7,443,338.25/3,136.16
  6. Step 6: Final answer
    x = 2,373.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.