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Finding the Fourth Proportional to 3,617.28, 5,426.40 and 1,308

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Solution

The fourth proportional to 3,617.28, 5,426.40 and 1,308 is: 1,962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.28 : 5,426.40 = 1,308 : x
  2. Step 2: Convert to fraction form
    3,617.28/5,426.40 = 1,308/x
  3. Step 3: Cross multiply
    3,617.28x = 5,426.40 × 1,308
  4. Step 4: Simplify right side
    3,617.28x = 7,097,731.20
  5. Step 5: Solve for x
    x = 7,097,731.20/3,617.28
  6. Step 6: Final answer
    x = 1,962.17

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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.