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Finding the Fourth Proportional to 3,856.28, 5,783.82 and 1,259.20

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Solution

The fourth proportional to 3,856.28, 5,783.82 and 1,259.20 is: 1,888.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.28 : 5,783.82 = 1,259.20 : x
  2. Step 2: Convert to fraction form
    3,856.28/5,783.82 = 1,259.20/x
  3. Step 3: Cross multiply
    3,856.28x = 5,783.82 × 1,259.20
  4. Step 4: Simplify right side
    3,856.28x = 7,282,986.14
  5. Step 5: Solve for x
    x = 7,282,986.14/3,856.28
  6. Step 6: Final answer
    x = 1,888.60

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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.