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Finding the Fourth Proportional to 3,970.91, 5,481.66 and 2,714.00

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Solution

The fourth proportional to 3,970.91, 5,481.66 and 2,714.00 is: 3,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.91 : 5,481.66 = 2,714.00 : x
  2. Step 2: Convert to fraction form
    3,970.91/5,481.66 = 2,714.00/x
  3. Step 3: Cross multiply
    3,970.91x = 5,481.66 × 2,714.00
  4. Step 4: Simplify right side
    3,970.91x = 14,877,197.83
  5. Step 5: Solve for x
    x = 14,877,197.83/3,970.91
  6. Step 6: Final answer
    x = 3,746.55

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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.