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Finding the Fourth Proportional to 3,856.72, 5,783.69 and 1,390.88

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Solution

The fourth proportional to 3,856.72, 5,783.69 and 1,390.88 is: 2,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.72 : 5,783.69 = 1,390.88 : x
  2. Step 2: Convert to fraction form
    3,856.72/5,783.69 = 1,390.88/x
  3. Step 3: Cross multiply
    3,856.72x = 5,783.69 × 1,390.88
  4. Step 4: Simplify right side
    3,856.72x = 8,044,397.33
  5. Step 5: Solve for x
    x = 8,044,397.33/3,856.72
  6. Step 6: Final answer
    x = 2,085.81

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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.