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Finding the Fourth Proportional to 3,731.66, 5,148.66 and 2,314.67

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Solution

The fourth proportional to 3,731.66, 5,148.66 and 2,314.67 is: 3,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.66 : 5,148.66 = 2,314.67 : x
  2. Step 2: Convert to fraction form
    3,731.66/5,148.66 = 2,314.67/x
  3. Step 3: Cross multiply
    3,731.66x = 5,148.66 × 2,314.67
  4. Step 4: Simplify right side
    3,731.66x = 11,917,423.10
  5. Step 5: Solve for x
    x = 11,917,423.10/3,731.66
  6. Step 6: Final answer
    x = 3,193.60

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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.