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Finding the Fourth Proportional to 4,685.70, 7,023.14 and 1,762.14

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Solution

The fourth proportional to 4,685.70, 7,023.14 and 1,762.14 is: 2,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.70 : 7,023.14 = 1,762.14 : x
  2. Step 2: Convert to fraction form
    4,685.70/7,023.14 = 1,762.14/x
  3. Step 3: Cross multiply
    4,685.70x = 7,023.14 × 1,762.14
  4. Step 4: Simplify right side
    4,685.70x = 12,375,755.92
  5. Step 5: Solve for x
    x = 12,375,755.92/4,685.70
  6. Step 6: Final answer
    x = 2,641.18

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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.