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Finding the Fourth Proportional to 3,856.64, 5,776.32 and 2,707.52

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Solution

The fourth proportional to 3,856.64, 5,776.32 and 2,707.52 is: 4,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.64 : 5,776.32 = 2,707.52 : x
  2. Step 2: Convert to fraction form
    3,856.64/5,776.32 = 2,707.52/x
  3. Step 3: Cross multiply
    3,856.64x = 5,776.32 × 2,707.52
  4. Step 4: Simplify right side
    3,856.64x = 15,639,501.93
  5. Step 5: Solve for x
    x = 15,639,501.93/3,856.64
  6. Step 6: Final answer
    x = 4,055.21

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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.