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Finding the Fourth Proportional to 5,098.42, 7,034.05 and 2,859.98

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Solution

The fourth proportional to 5,098.42, 7,034.05 and 2,859.98 is: 3,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.42 : 7,034.05 = 2,859.98 : x
  2. Step 2: Convert to fraction form
    5,098.42/7,034.05 = 2,859.98/x
  3. Step 3: Cross multiply
    5,098.42x = 7,034.05 × 2,859.98
  4. Step 4: Simplify right side
    5,098.42x = 20,117,242.32
  5. Step 5: Solve for x
    x = 20,117,242.32/5,098.42
  6. Step 6: Final answer
    x = 3,945.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.