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Finding the Fourth Proportional to 4,952.16, 6,833.54 and 2,714.00

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Solution

The fourth proportional to 4,952.16, 6,833.54 and 2,714.00 is: 3,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.16 : 6,833.54 = 2,714.00 : x
  2. Step 2: Convert to fraction form
    4,952.16/6,833.54 = 2,714.00/x
  3. Step 3: Cross multiply
    4,952.16x = 6,833.54 × 2,714.00
  4. Step 4: Simplify right side
    4,952.16x = 18,546,179.82
  5. Step 5: Solve for x
    x = 18,546,179.82/4,952.16
  6. Step 6: Final answer
    x = 3,745.07

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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.