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Finding the Fourth Proportional to 3,899.32, 5,848.98 and 1,951.07

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Solution

The fourth proportional to 3,899.32, 5,848.98 and 1,951.07 is: 2,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.32 : 5,848.98 = 1,951.07 : x
  2. Step 2: Convert to fraction form
    3,899.32/5,848.98 = 1,951.07/x
  3. Step 3: Cross multiply
    3,899.32x = 5,848.98 × 1,951.07
  4. Step 4: Simplify right side
    3,899.32x = 11,411,769.41
  5. Step 5: Solve for x
    x = 11,411,769.41/3,899.32
  6. Step 6: Final answer
    x = 2,926.61

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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.