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Finding the Fourth Proportional to 3,444.96, 5,165.28 and 1,594.92

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Solution

The fourth proportional to 3,444.96, 5,165.28 and 1,594.92 is: 2,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.96 : 5,165.28 = 1,594.92 : x
  2. Step 2: Convert to fraction form
    3,444.96/5,165.28 = 1,594.92/x
  3. Step 3: Cross multiply
    3,444.96x = 5,165.28 × 1,594.92
  4. Step 4: Simplify right side
    3,444.96x = 8,238,208.38
  5. Step 5: Solve for x
    x = 8,238,208.38/3,444.96
  6. Step 6: Final answer
    x = 2,391.38

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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.