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Finding the Fourth Proportional to 2,906.73, 4,337.64 and 2,595.24

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Solution

The fourth proportional to 2,906.73, 4,337.64 and 2,595.24 is: 3,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.73 : 4,337.64 = 2,595.24 : x
  2. Step 2: Convert to fraction form
    2,906.73/4,337.64 = 2,595.24/x
  3. Step 3: Cross multiply
    2,906.73x = 4,337.64 × 2,595.24
  4. Step 4: Simplify right side
    2,906.73x = 11,257,216.83
  5. Step 5: Solve for x
    x = 11,257,216.83/2,906.73
  6. Step 6: Final answer
    x = 3,872.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.