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Finding the Fourth Proportional to 3,859.34, 5,325.98 and 2,287.44

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Solution

The fourth proportional to 3,859.34, 5,325.98 and 2,287.44 is: 3,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.34 : 5,325.98 = 2,287.44 : x
  2. Step 2: Convert to fraction form
    3,859.34/5,325.98 = 2,287.44/x
  3. Step 3: Cross multiply
    3,859.34x = 5,325.98 × 2,287.44
  4. Step 4: Simplify right side
    3,859.34x = 12,182,848.25
  5. Step 5: Solve for x
    x = 12,182,848.25/3,859.34
  6. Step 6: Final answer
    x = 3,156.72

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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.