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Finding the Fourth Proportional to 3,653.57, 5,040.80 and 2,235.76

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Solution

The fourth proportional to 3,653.57, 5,040.80 and 2,235.76 is: 3,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.57 : 5,040.80 = 2,235.76 : x
  2. Step 2: Convert to fraction form
    3,653.57/5,040.80 = 2,235.76/x
  3. Step 3: Cross multiply
    3,653.57x = 5,040.80 × 2,235.76
  4. Step 4: Simplify right side
    3,653.57x = 11,270,018.30
  5. Step 5: Solve for x
    x = 11,270,018.30/3,653.57
  6. Step 6: Final answer
    x = 3,084.66

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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.