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Finding the Fourth Proportional to 3,568.96, 5,353.47 and 1,594.69

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Solution

The fourth proportional to 3,568.96, 5,353.47 and 1,594.69 is: 2,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.96 : 5,353.47 = 1,594.69 : x
  2. Step 2: Convert to fraction form
    3,568.96/5,353.47 = 1,594.69/x
  3. Step 3: Cross multiply
    3,568.96x = 5,353.47 × 1,594.69
  4. Step 4: Simplify right side
    3,568.96x = 8,537,098.31
  5. Step 5: Solve for x
    x = 8,537,098.31/3,568.96
  6. Step 6: Final answer
    x = 2,392.04

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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.