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Finding the Fourth Proportional to 4,726.85, 7,083.29 and 4,207.84

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Solution

The fourth proportional to 4,726.85, 7,083.29 and 4,207.84 is: 6,305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.85 : 7,083.29 = 4,207.84 : x
  2. Step 2: Convert to fraction form
    4,726.85/7,083.29 = 4,207.84/x
  3. Step 3: Cross multiply
    4,726.85x = 7,083.29 × 4,207.84
  4. Step 4: Simplify right side
    4,726.85x = 29,805,343.80
  5. Step 5: Solve for x
    x = 29,805,343.80/4,726.85
  6. Step 6: Final answer
    x = 6,305.55

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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.