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Finding the Fourth Proportional to 4,339.50, 6,510.06 and 2,031

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Solution

The fourth proportional to 4,339.50, 6,510.06 and 2,031 is: 3,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.50 : 6,510.06 = 2,031 : x
  2. Step 2: Convert to fraction form
    4,339.50/6,510.06 = 2,031/x
  3. Step 3: Cross multiply
    4,339.50x = 6,510.06 × 2,031
  4. Step 4: Simplify right side
    4,339.50x = 13,221,931.86
  5. Step 5: Solve for x
    x = 13,221,931.86/4,339.50
  6. Step 6: Final answer
    x = 3,046.88

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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.