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Finding the Fourth Proportional to 5,870.42, 8,102.44 and 3,881.26

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Solution

The fourth proportional to 5,870.42, 8,102.44 and 3,881.26 is: 5,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.42 : 8,102.44 = 3,881.26 : x
  2. Step 2: Convert to fraction form
    5,870.42/8,102.44 = 3,881.26/x
  3. Step 3: Cross multiply
    5,870.42x = 8,102.44 × 3,881.26
  4. Step 4: Simplify right side
    5,870.42x = 31,447,676.27
  5. Step 5: Solve for x
    x = 31,447,676.27/5,870.42
  6. Step 6: Final answer
    x = 5,356.97

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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.