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Finding the Fourth Proportional to 3,507.38, 5,263.38 and 1,865.12

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Solution

The fourth proportional to 3,507.38, 5,263.38 and 1,865.12 is: 2,798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.38 : 5,263.38 = 1,865.12 : x
  2. Step 2: Convert to fraction form
    3,507.38/5,263.38 = 1,865.12/x
  3. Step 3: Cross multiply
    3,507.38x = 5,263.38 × 1,865.12
  4. Step 4: Simplify right side
    3,507.38x = 9,816,835.31
  5. Step 5: Solve for x
    x = 9,816,835.31/3,507.38
  6. Step 6: Final answer
    x = 2,798.91

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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.