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Finding the Fourth Proportional to 3,908.64, 5,863.20 and 1,313.40

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Solution

The fourth proportional to 3,908.64, 5,863.20 and 1,313.40 is: 1,970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.64 : 5,863.20 = 1,313.40 : x
  2. Step 2: Convert to fraction form
    3,908.64/5,863.20 = 1,313.40/x
  3. Step 3: Cross multiply
    3,908.64x = 5,863.20 × 1,313.40
  4. Step 4: Simplify right side
    3,908.64x = 7,700,726.88
  5. Step 5: Solve for x
    x = 7,700,726.88/3,908.64
  6. Step 6: Final answer
    x = 1,970.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.