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Finding the Fourth Proportional to 3,543.84, 5,315.90 and 1,810.44

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Solution

The fourth proportional to 3,543.84, 5,315.90 and 1,810.44 is: 2,715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.84 : 5,315.90 = 1,810.44 : x
  2. Step 2: Convert to fraction form
    3,543.84/5,315.90 = 1,810.44/x
  3. Step 3: Cross multiply
    3,543.84x = 5,315.90 × 1,810.44
  4. Step 4: Simplify right side
    3,543.84x = 9,624,108.94
  5. Step 5: Solve for x
    x = 9,624,108.94/3,543.84
  6. Step 6: Final answer
    x = 2,715.73

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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.