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Finding the Fourth Proportional to 3,775.34, 5,648.99 and 2,269.06

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Solution

The fourth proportional to 3,775.34, 5,648.99 and 2,269.06 is: 3,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.34 : 5,648.99 = 2,269.06 : x
  2. Step 2: Convert to fraction form
    3,775.34/5,648.99 = 2,269.06/x
  3. Step 3: Cross multiply
    3,775.34x = 5,648.99 × 2,269.06
  4. Step 4: Simplify right side
    3,775.34x = 12,817,871.78
  5. Step 5: Solve for x
    x = 12,817,871.78/3,775.34
  6. Step 6: Final answer
    x = 3,395.15

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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.