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Finding the Fourth Proportional to 3,530.85, 4,871.16 and 2,271.66

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Solution

The fourth proportional to 3,530.85, 4,871.16 and 2,271.66 is: 3,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.85 : 4,871.16 = 2,271.66 : x
  2. Step 2: Convert to fraction form
    3,530.85/4,871.16 = 2,271.66/x
  3. Step 3: Cross multiply
    3,530.85x = 4,871.16 × 2,271.66
  4. Step 4: Simplify right side
    3,530.85x = 11,065,619.33
  5. Step 5: Solve for x
    x = 11,065,619.33/3,530.85
  6. Step 6: Final answer
    x = 3,133.98

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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.