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Finding the Fourth Proportional to 3,533.01, 4,872.27 and 2,271.84

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Solution

The fourth proportional to 3,533.01, 4,872.27 and 2,271.84 is: 3,133.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.01 : 4,872.27 = 2,271.84 : x
  2. Step 2: Convert to fraction form
    3,533.01/4,872.27 = 2,271.84/x
  3. Step 3: Cross multiply
    3,533.01x = 4,872.27 × 2,271.84
  4. Step 4: Simplify right side
    3,533.01x = 11,069,017.88
  5. Step 5: Solve for x
    x = 11,069,017.88/3,533.01
  6. Step 6: Final answer
    x = 3,133.03

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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.