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Finding the Fourth Proportional to 4,952.78, 7,429.40 and 2,029.04

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Solution

The fourth proportional to 4,952.78, 7,429.40 and 2,029.04 is: 3,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.78 : 7,429.40 = 2,029.04 : x
  2. Step 2: Convert to fraction form
    4,952.78/7,429.40 = 2,029.04/x
  3. Step 3: Cross multiply
    4,952.78x = 7,429.40 × 2,029.04
  4. Step 4: Simplify right side
    4,952.78x = 15,074,502.48
  5. Step 5: Solve for x
    x = 15,074,502.48/4,952.78
  6. Step 6: Final answer
    x = 3,043.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.