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Finding the Fourth Proportional to 3,653.67, 5,480.56 and 1,188.51

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Solution

The fourth proportional to 3,653.67, 5,480.56 and 1,188.51 is: 1,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.67 : 5,480.56 = 1,188.51 : x
  2. Step 2: Convert to fraction form
    3,653.67/5,480.56 = 1,188.51/x
  3. Step 3: Cross multiply
    3,653.67x = 5,480.56 × 1,188.51
  4. Step 4: Simplify right side
    3,653.67x = 6,513,681.30
  5. Step 5: Solve for x
    x = 6,513,681.30/3,653.67
  6. Step 6: Final answer
    x = 1,782.78

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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.