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Finding the Fourth Proportional to 3,507.17, 5,263.84 and 1,427.17

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Solution

The fourth proportional to 3,507.17, 5,263.84 and 1,427.17 is: 2,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.17 : 5,263.84 = 1,427.17 : x
  2. Step 2: Convert to fraction form
    3,507.17/5,263.84 = 1,427.17/x
  3. Step 3: Cross multiply
    3,507.17x = 5,263.84 × 1,427.17
  4. Step 4: Simplify right side
    3,507.17x = 7,512,385.00
  5. Step 5: Solve for x
    x = 7,512,385.00/3,507.17
  6. Step 6: Final answer
    x = 2,142.01

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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.