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Finding the Fourth Proportional to 5,362.72, 8,045.10 and 1,902.40

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Solution

The fourth proportional to 5,362.72, 8,045.10 and 1,902.40 is: 2,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.72 : 8,045.10 = 1,902.40 : x
  2. Step 2: Convert to fraction form
    5,362.72/8,045.10 = 1,902.40/x
  3. Step 3: Cross multiply
    5,362.72x = 8,045.10 × 1,902.40
  4. Step 4: Simplify right side
    5,362.72x = 15,304,998.24
  5. Step 5: Solve for x
    x = 15,304,998.24/5,362.72
  6. Step 6: Final answer
    x = 2,853.96

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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.