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Finding the Fourth Proportional to 5,387.14, 8,080.71 and 1,689.67

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Solution

The fourth proportional to 5,387.14, 8,080.71 and 1,689.67 is: 2,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.14 : 8,080.71 = 1,689.67 : x
  2. Step 2: Convert to fraction form
    5,387.14/8,080.71 = 1,689.67/x
  3. Step 3: Cross multiply
    5,387.14x = 8,080.71 × 1,689.67
  4. Step 4: Simplify right side
    5,387.14x = 13,653,713.06
  5. Step 5: Solve for x
    x = 13,653,713.06/5,387.14
  6. Step 6: Final answer
    x = 2,534.50

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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.