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Finding the Fourth Proportional to 3,652.84, 5,480.04 and 1,187.46

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Solution

The fourth proportional to 3,652.84, 5,480.04 and 1,187.46 is: 1,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.84 : 5,480.04 = 1,187.46 : x
  2. Step 2: Convert to fraction form
    3,652.84/5,480.04 = 1,187.46/x
  3. Step 3: Cross multiply
    3,652.84x = 5,480.04 × 1,187.46
  4. Step 4: Simplify right side
    3,652.84x = 6,507,328.30
  5. Step 5: Solve for x
    x = 6,507,328.30/3,652.84
  6. Step 6: Final answer
    x = 1,781.44

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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.