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Finding the Fourth Proportional to 4,675.93, 7,013.42 and 1,902.76

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Solution

The fourth proportional to 4,675.93, 7,013.42 and 1,902.76 is: 2,853.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.93 : 7,013.42 = 1,902.76 : x
  2. Step 2: Convert to fraction form
    4,675.93/7,013.42 = 1,902.76/x
  3. Step 3: Cross multiply
    4,675.93x = 7,013.42 × 1,902.76
  4. Step 4: Simplify right side
    4,675.93x = 13,344,855.04
  5. Step 5: Solve for x
    x = 13,344,855.04/4,675.93
  6. Step 6: Final answer
    x = 2,853.95

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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.