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Finding the Fourth Proportional to 3,869.68, 5,804.70 and 1,561

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Solution

The fourth proportional to 3,869.68, 5,804.70 and 1,561 is: 2,341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.68 : 5,804.70 = 1,561 : x
  2. Step 2: Convert to fraction form
    3,869.68/5,804.70 = 1,561/x
  3. Step 3: Cross multiply
    3,869.68x = 5,804.70 × 1,561
  4. Step 4: Simplify right side
    3,869.68x = 9,061,136.70
  5. Step 5: Solve for x
    x = 9,061,136.70/3,869.68
  6. Step 6: Final answer
    x = 2,341.57

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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.