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Finding the Fourth Proportional to 5,309.90, 7,964.93 and 2,023.18

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Solution

The fourth proportional to 5,309.90, 7,964.93 and 2,023.18 is: 3,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.90 : 7,964.93 = 2,023.18 : x
  2. Step 2: Convert to fraction form
    5,309.90/7,964.93 = 2,023.18/x
  3. Step 3: Cross multiply
    5,309.90x = 7,964.93 × 2,023.18
  4. Step 4: Simplify right side
    5,309.90x = 16,114,472.22
  5. Step 5: Solve for x
    x = 16,114,472.22/5,309.90
  6. Step 6: Final answer
    x = 3,034.80

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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.