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Finding the Fourth Proportional to 3,671.49, 5,507.16 and 1,480.17

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Solution

The fourth proportional to 3,671.49, 5,507.16 and 1,480.17 is: 2,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.49 : 5,507.16 = 1,480.17 : x
  2. Step 2: Convert to fraction form
    3,671.49/5,507.16 = 1,480.17/x
  3. Step 3: Cross multiply
    3,671.49x = 5,507.16 × 1,480.17
  4. Step 4: Simplify right side
    3,671.49x = 8,151,533.02
  5. Step 5: Solve for x
    x = 8,151,533.02/3,671.49
  6. Step 6: Final answer
    x = 2,220.22

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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.