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Finding the Fourth Proportional to 3,653.64, 5,041.71 and 2,237.49

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Solution

The fourth proportional to 3,653.64, 5,041.71 and 2,237.49 is: 3,087.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.64 : 5,041.71 = 2,237.49 : x
  2. Step 2: Convert to fraction form
    3,653.64/5,041.71 = 2,237.49/x
  3. Step 3: Cross multiply
    3,653.64x = 5,041.71 × 2,237.49
  4. Step 4: Simplify right side
    3,653.64x = 11,280,775.71
  5. Step 5: Solve for x
    x = 11,280,775.71/3,653.64
  6. Step 6: Final answer
    x = 3,087.54

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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.