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Finding the Fourth Proportional to 3,655.67, 5,483.56 and 1,190.51

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Solution

The fourth proportional to 3,655.67, 5,483.56 and 1,190.51 is: 1,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.67 : 5,483.56 = 1,190.51 : x
  2. Step 2: Convert to fraction form
    3,655.67/5,483.56 = 1,190.51/x
  3. Step 3: Cross multiply
    3,655.67x = 5,483.56 × 1,190.51
  4. Step 4: Simplify right side
    3,655.67x = 6,528,233.02
  5. Step 5: Solve for x
    x = 6,528,233.02/3,655.67
  6. Step 6: Final answer
    x = 1,785.78

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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.