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Finding the Fourth Proportional to 4,535.29, 6,805.56 and 1,902.56

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Solution

The fourth proportional to 4,535.29, 6,805.56 and 1,902.56 is: 2,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.29 : 6,805.56 = 1,902.56 : x
  2. Step 2: Convert to fraction form
    4,535.29/6,805.56 = 1,902.56/x
  3. Step 3: Cross multiply
    4,535.29x = 6,805.56 × 1,902.56
  4. Step 4: Simplify right side
    4,535.29x = 12,948,006.81
  5. Step 5: Solve for x
    x = 12,948,006.81/4,535.29
  6. Step 6: Final answer
    x = 2,854.94

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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.