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Finding the Fourth Proportional to 3,525.64, 4,871.43 and 3,082.84

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Solution

The fourth proportional to 3,525.64, 4,871.43 and 3,082.84 is: 4,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.64 : 4,871.43 = 3,082.84 : x
  2. Step 2: Convert to fraction form
    3,525.64/4,871.43 = 3,082.84/x
  3. Step 3: Cross multiply
    3,525.64x = 4,871.43 × 3,082.84
  4. Step 4: Simplify right side
    3,525.64x = 15,017,839.26
  5. Step 5: Solve for x
    x = 15,017,839.26/3,525.64
  6. Step 6: Final answer
    x = 4,259.61

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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.