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Finding the Fourth Proportional to 4,308.50, 6,462.75 and 1,387.10

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Solution

The fourth proportional to 4,308.50, 6,462.75 and 1,387.10 is: 2,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.50 : 6,462.75 = 1,387.10 : x
  2. Step 2: Convert to fraction form
    4,308.50/6,462.75 = 1,387.10/x
  3. Step 3: Cross multiply
    4,308.50x = 6,462.75 × 1,387.10
  4. Step 4: Simplify right side
    4,308.50x = 8,964,480.53
  5. Step 5: Solve for x
    x = 8,964,480.53/4,308.50
  6. Step 6: Final answer
    x = 2,080.65

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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.