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Finding the Fourth Proportional to 5,304.70, 7,955.02 and 1,605.70

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Solution

The fourth proportional to 5,304.70, 7,955.02 and 1,605.70 is: 2,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.70 : 7,955.02 = 1,605.70 : x
  2. Step 2: Convert to fraction form
    5,304.70/7,955.02 = 1,605.70/x
  3. Step 3: Cross multiply
    5,304.70x = 7,955.02 × 1,605.70
  4. Step 4: Simplify right side
    5,304.70x = 12,773,375.61
  5. Step 5: Solve for x
    x = 12,773,375.61/5,304.70
  6. Step 6: Final answer
    x = 2,407.94

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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.