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Finding the Fourth Proportional to 3,207.95, 4,805.64 and 2,859.65

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Solution

The fourth proportional to 3,207.95, 4,805.64 and 2,859.65 is: 4,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.95 : 4,805.64 = 2,859.65 : x
  2. Step 2: Convert to fraction form
    3,207.95/4,805.64 = 2,859.65/x
  3. Step 3: Cross multiply
    3,207.95x = 4,805.64 × 2,859.65
  4. Step 4: Simplify right side
    3,207.95x = 13,742,448.43
  5. Step 5: Solve for x
    x = 13,742,448.43/3,207.95
  6. Step 6: Final answer
    x = 4,283.87

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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.