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Finding the Fourth Proportional to 3,527.16, 5,289.13 and 1,680.50

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Solution

The fourth proportional to 3,527.16, 5,289.13 and 1,680.50 is: 2,519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.16 : 5,289.13 = 1,680.50 : x
  2. Step 2: Convert to fraction form
    3,527.16/5,289.13 = 1,680.50/x
  3. Step 3: Cross multiply
    3,527.16x = 5,289.13 × 1,680.50
  4. Step 4: Simplify right side
    3,527.16x = 8,888,398.29
  5. Step 5: Solve for x
    x = 8,888,398.29/3,527.16
  6. Step 6: Final answer
    x = 2,519.99

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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.