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Finding the Fourth Proportional to 5,210.24, 7,818.24 and 2,132

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Solution

The fourth proportional to 5,210.24, 7,818.24 and 2,132 is: 3,199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.24 : 7,818.24 = 2,132 : x
  2. Step 2: Convert to fraction form
    5,210.24/7,818.24 = 2,132/x
  3. Step 3: Cross multiply
    5,210.24x = 7,818.24 × 2,132
  4. Step 4: Simplify right side
    5,210.24x = 16,668,487.68
  5. Step 5: Solve for x
    x = 16,668,487.68/5,210.24
  6. Step 6: Final answer
    x = 3,199.18

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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.