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Finding the Fourth Proportional to 4,490.72, 6,742.38 and 2,301.02

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Solution

The fourth proportional to 4,490.72, 6,742.38 and 2,301.02 is: 3,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.72 : 6,742.38 = 2,301.02 : x
  2. Step 2: Convert to fraction form
    4,490.72/6,742.38 = 2,301.02/x
  3. Step 3: Cross multiply
    4,490.72x = 6,742.38 × 2,301.02
  4. Step 4: Simplify right side
    4,490.72x = 15,514,351.23
  5. Step 5: Solve for x
    x = 15,514,351.23/4,490.72
  6. Step 6: Final answer
    x = 3,454.76

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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.