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Finding the Fourth Proportional to 5,902.34, 8,854.83 and 2,782.38

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Solution

The fourth proportional to 5,902.34, 8,854.83 and 2,782.38 is: 4,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.34 : 8,854.83 = 2,782.38 : x
  2. Step 2: Convert to fraction form
    5,902.34/8,854.83 = 2,782.38/x
  3. Step 3: Cross multiply
    5,902.34x = 8,854.83 × 2,782.38
  4. Step 4: Simplify right side
    5,902.34x = 24,637,501.90
  5. Step 5: Solve for x
    x = 24,637,501.90/5,902.34
  6. Step 6: Final answer
    x = 4,174.19

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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.