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Finding the Fourth Proportional to 5,068, 7,601.76 and 1,604.80

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Solution

The fourth proportional to 5,068, 7,601.76 and 1,604.80 is: 2,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068 : 7,601.76 = 1,604.80 : x
  2. Step 2: Convert to fraction form
    5,068/7,601.76 = 1,604.80/x
  3. Step 3: Cross multiply
    5,068x = 7,601.76 × 1,604.80
  4. Step 4: Simplify right side
    5,068x = 12,199,304.45
  5. Step 5: Solve for x
    x = 12,199,304.45/5,068
  6. Step 6: Final answer
    x = 2,407.12

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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.