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Finding the Fourth Proportional to 4,207.65, 6,312.89 and 1,867.33

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Solution

The fourth proportional to 4,207.65, 6,312.89 and 1,867.33 is: 2,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.65 : 6,312.89 = 1,867.33 : x
  2. Step 2: Convert to fraction form
    4,207.65/6,312.89 = 1,867.33/x
  3. Step 3: Cross multiply
    4,207.65x = 6,312.89 × 1,867.33
  4. Step 4: Simplify right side
    4,207.65x = 11,788,239.55
  5. Step 5: Solve for x
    x = 11,788,239.55/4,207.65
  6. Step 6: Final answer
    x = 2,801.62

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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.