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Finding the Fourth Proportional to 3,138.12, 4,709.04 and 2,259.72

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Solution

The fourth proportional to 3,138.12, 4,709.04 and 2,259.72 is: 3,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.12 : 4,709.04 = 2,259.72 : x
  2. Step 2: Convert to fraction form
    3,138.12/4,709.04 = 2,259.72/x
  3. Step 3: Cross multiply
    3,138.12x = 4,709.04 × 2,259.72
  4. Step 4: Simplify right side
    3,138.12x = 10,641,111.87
  5. Step 5: Solve for x
    x = 10,641,111.87/3,138.12
  6. Step 6: Final answer
    x = 3,390.92

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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.