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Finding the Fourth Proportional to 3,595.40, 5,382.97 and 1,902.97

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Solution

The fourth proportional to 3,595.40, 5,382.97 and 1,902.97 is: 2,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.40 : 5,382.97 = 1,902.97 : x
  2. Step 2: Convert to fraction form
    3,595.40/5,382.97 = 1,902.97/x
  3. Step 3: Cross multiply
    3,595.40x = 5,382.97 × 1,902.97
  4. Step 4: Simplify right side
    3,595.40x = 10,243,607.16
  5. Step 5: Solve for x
    x = 10,243,607.16/3,595.40
  6. Step 6: Final answer
    x = 2,849.08

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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.