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Finding the Fourth Proportional to 3,830.77, 5,282.55 and 3,607.53

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Solution

The fourth proportional to 3,830.77, 5,282.55 and 3,607.53 is: 4,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.77 : 5,282.55 = 3,607.53 : x
  2. Step 2: Convert to fraction form
    3,830.77/5,282.55 = 3,607.53/x
  3. Step 3: Cross multiply
    3,830.77x = 5,282.55 × 3,607.53
  4. Step 4: Simplify right side
    3,830.77x = 19,056,939.56
  5. Step 5: Solve for x
    x = 19,056,939.56/3,830.77
  6. Step 6: Final answer
    x = 4,974.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.