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Finding the Fourth Proportional to 3,507, 5,261.40 and 1,198.50

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Solution

The fourth proportional to 3,507, 5,261.40 and 1,198.50 is: 1,798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507 : 5,261.40 = 1,198.50 : x
  2. Step 2: Convert to fraction form
    3,507/5,261.40 = 1,198.50/x
  3. Step 3: Cross multiply
    3,507x = 5,261.40 × 1,198.50
  4. Step 4: Simplify right side
    3,507x = 6,305,787.90
  5. Step 5: Solve for x
    x = 6,305,787.90/3,507
  6. Step 6: Final answer
    x = 1,798.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.