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Finding the Fourth Proportional to 3,131, 4,303.16 and 3,043.52

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Solution

The fourth proportional to 3,131, 4,303.16 and 3,043.52 is: 4,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131 : 4,303.16 = 3,043.52 : x
  2. Step 2: Convert to fraction form
    3,131/4,303.16 = 3,043.52/x
  3. Step 3: Cross multiply
    3,131x = 4,303.16 × 3,043.52
  4. Step 4: Simplify right side
    3,131x = 13,096,753.52
  5. Step 5: Solve for x
    x = 13,096,753.52/3,131
  6. Step 6: Final answer
    x = 4,182.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.