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Finding the Fourth Proportional to 4,107.65, 5,667.17 and 2,338.00

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Solution

The fourth proportional to 4,107.65, 5,667.17 and 2,338.00 is: 3,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.65 : 5,667.17 = 2,338.00 : x
  2. Step 2: Convert to fraction form
    4,107.65/5,667.17 = 2,338.00/x
  3. Step 3: Cross multiply
    4,107.65x = 5,667.17 × 2,338.00
  4. Step 4: Simplify right side
    4,107.65x = 13,249,817.60
  5. Step 5: Solve for x
    x = 13,249,817.60/4,107.65
  6. Step 6: Final answer
    x = 3,225.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.