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Finding the Fourth Proportional to 3,147.80, 4,686.10 and 3,131.48

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Solution

The fourth proportional to 3,147.80, 4,686.10 and 3,131.48 is: 4,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.80 : 4,686.10 = 3,131.48 : x
  2. Step 2: Convert to fraction form
    3,147.80/4,686.10 = 3,131.48/x
  3. Step 3: Cross multiply
    3,147.80x = 4,686.10 × 3,131.48
  4. Step 4: Simplify right side
    3,147.80x = 14,674,428.43
  5. Step 5: Solve for x
    x = 14,674,428.43/3,147.80
  6. Step 6: Final answer
    x = 4,661.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.