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Finding the Fourth Proportional to 3,533.42, 4,875.98 and 1,961.48

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Solution

The fourth proportional to 3,533.42, 4,875.98 and 1,961.48 is: 2,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.42 : 4,875.98 = 1,961.48 : x
  2. Step 2: Convert to fraction form
    3,533.42/4,875.98 = 1,961.48/x
  3. Step 3: Cross multiply
    3,533.42x = 4,875.98 × 1,961.48
  4. Step 4: Simplify right side
    3,533.42x = 9,564,103.06
  5. Step 5: Solve for x
    x = 9,564,103.06/3,533.42
  6. Step 6: Final answer
    x = 2,706.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.