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Finding the Fourth Proportional to 3,876.30, 5,339.80 and 2,810.93

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Solution

The fourth proportional to 3,876.30, 5,339.80 and 2,810.93 is: 3,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.30 : 5,339.80 = 2,810.93 : x
  2. Step 2: Convert to fraction form
    3,876.30/5,339.80 = 2,810.93/x
  3. Step 3: Cross multiply
    3,876.30x = 5,339.80 × 2,810.93
  4. Step 4: Simplify right side
    3,876.30x = 15,009,817.36
  5. Step 5: Solve for x
    x = 15,009,817.36/3,876.30
  6. Step 6: Final answer
    x = 3,872.20

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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.