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Finding the Fourth Proportional to 5,156.85, 7,116.50 and 2,799

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Solution

The fourth proportional to 5,156.85, 7,116.50 and 2,799 is: 3,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.85 : 7,116.50 = 2,799 : x
  2. Step 2: Convert to fraction form
    5,156.85/7,116.50 = 2,799/x
  3. Step 3: Cross multiply
    5,156.85x = 7,116.50 × 2,799
  4. Step 4: Simplify right side
    5,156.85x = 19,919,069.51
  5. Step 5: Solve for x
    x = 19,919,069.51/5,156.85
  6. Step 6: Final answer
    x = 3,862.64

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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.