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Finding the Fourth Proportional to 5,115, 7,058.72 and 2,876.80

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Solution

The fourth proportional to 5,115, 7,058.72 and 2,876.80 is: 3,970.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115 : 7,058.72 = 2,876.80 : x
  2. Step 2: Convert to fraction form
    5,115/7,058.72 = 2,876.80/x
  3. Step 3: Cross multiply
    5,115x = 7,058.72 × 2,876.80
  4. Step 4: Simplify right side
    5,115x = 20,306,525.70
  5. Step 5: Solve for x
    x = 20,306,525.70/5,115
  6. Step 6: Final answer
    x = 3,970.00

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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.