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Finding the Fourth Proportional to 3,903.68, 5,856 and 1,594.88

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Solution

The fourth proportional to 3,903.68, 5,856 and 1,594.88 is: 2,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.68 : 5,856 = 1,594.88 : x
  2. Step 2: Convert to fraction form
    3,903.68/5,856 = 1,594.88/x
  3. Step 3: Cross multiply
    3,903.68x = 5,856 × 1,594.88
  4. Step 4: Simplify right side
    3,903.68x = 9,339,617.28
  5. Step 5: Solve for x
    x = 9,339,617.28/3,903.68
  6. Step 6: Final answer
    x = 2,392.52

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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.