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Finding the Fourth Proportional to 3,533.28, 4,873.72 and 2,276

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Solution

The fourth proportional to 3,533.28, 4,873.72 and 2,276 is: 3,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.28 : 4,873.72 = 2,276 : x
  2. Step 2: Convert to fraction form
    3,533.28/4,873.72 = 2,276/x
  3. Step 3: Cross multiply
    3,533.28x = 4,873.72 × 2,276
  4. Step 4: Simplify right side
    3,533.28x = 11,092,586.72
  5. Step 5: Solve for x
    x = 11,092,586.72/3,533.28
  6. Step 6: Final answer
    x = 3,139.46

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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.