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Finding the Fourth Proportional to 3,114.27, 4,672.27 and 1,358.95

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Solution

The fourth proportional to 3,114.27, 4,672.27 and 1,358.95 is: 2,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.27 : 4,672.27 = 1,358.95 : x
  2. Step 2: Convert to fraction form
    3,114.27/4,672.27 = 1,358.95/x
  3. Step 3: Cross multiply
    3,114.27x = 4,672.27 × 1,358.95
  4. Step 4: Simplify right side
    3,114.27x = 6,349,366.24
  5. Step 5: Solve for x
    x = 6,349,366.24/3,114.27
  6. Step 6: Final answer
    x = 2,038.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.