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Finding the Fourth Proportional to 5,851.49, 8,777.16 and 1,902.93

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Solution

The fourth proportional to 5,851.49, 8,777.16 and 1,902.93 is: 2,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.49 : 8,777.16 = 1,902.93 : x
  2. Step 2: Convert to fraction form
    5,851.49/8,777.16 = 1,902.93/x
  3. Step 3: Cross multiply
    5,851.49x = 8,777.16 × 1,902.93
  4. Step 4: Simplify right side
    5,851.49x = 16,702,346.86
  5. Step 5: Solve for x
    x = 16,702,346.86/5,851.49
  6. Step 6: Final answer
    x = 2,854.37

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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.