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Finding the Fourth Proportional to 5,302.98, 7,951.77 and 2,013.57

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Solution

The fourth proportional to 5,302.98, 7,951.77 and 2,013.57 is: 3,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.98 : 7,951.77 = 2,013.57 : x
  2. Step 2: Convert to fraction form
    5,302.98/7,951.77 = 2,013.57/x
  3. Step 3: Cross multiply
    5,302.98x = 7,951.77 × 2,013.57
  4. Step 4: Simplify right side
    5,302.98x = 16,011,445.52
  5. Step 5: Solve for x
    x = 16,011,445.52/5,302.98
  6. Step 6: Final answer
    x = 3,019.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.