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Finding the Fourth Proportional to 3,802.98, 5,701.76 and 1,800.56

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Solution

The fourth proportional to 3,802.98, 5,701.76 and 1,800.56 is: 2,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.98 : 5,701.76 = 1,800.56 : x
  2. Step 2: Convert to fraction form
    3,802.98/5,701.76 = 1,800.56/x
  3. Step 3: Cross multiply
    3,802.98x = 5,701.76 × 1,800.56
  4. Step 4: Simplify right side
    3,802.98x = 10,266,372.99
  5. Step 5: Solve for x
    x = 10,266,372.99/3,802.98
  6. Step 6: Final answer
    x = 2,699.56

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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.