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Finding the Fourth Proportional to 3,745.42, 5,580.74 and 3,577.74

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Solution

The fourth proportional to 3,745.42, 5,580.74 and 3,577.74 is: 5,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.42 : 5,580.74 = 3,577.74 : x
  2. Step 2: Convert to fraction form
    3,745.42/5,580.74 = 3,577.74/x
  3. Step 3: Cross multiply
    3,745.42x = 5,580.74 × 3,577.74
  4. Step 4: Simplify right side
    3,745.42x = 19,966,436.73
  5. Step 5: Solve for x
    x = 19,966,436.73/3,745.42
  6. Step 6: Final answer
    x = 5,330.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.