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Finding the Fourth Proportional to 4,952.91, 6,835.02 and 2,714.95

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Solution

The fourth proportional to 4,952.91, 6,835.02 and 2,714.95 is: 3,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.91 : 6,835.02 = 2,714.95 : x
  2. Step 2: Convert to fraction form
    4,952.91/6,835.02 = 2,714.95/x
  3. Step 3: Cross multiply
    4,952.91x = 6,835.02 × 2,714.95
  4. Step 4: Simplify right side
    4,952.91x = 18,556,735.91
  5. Step 5: Solve for x
    x = 18,556,735.91/4,952.91
  6. Step 6: Final answer
    x = 3,746.63

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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.