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Finding the Fourth Proportional to 5,258.14, 7,256.08 and 2,868.18

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Solution

The fourth proportional to 5,258.14, 7,256.08 and 2,868.18 is: 3,958.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.14 : 7,256.08 = 2,868.18 : x
  2. Step 2: Convert to fraction form
    5,258.14/7,256.08 = 2,868.18/x
  3. Step 3: Cross multiply
    5,258.14x = 7,256.08 × 2,868.18
  4. Step 4: Simplify right side
    5,258.14x = 20,811,692.91
  5. Step 5: Solve for x
    x = 20,811,692.91/5,258.14
  6. Step 6: Final answer
    x = 3,958.00

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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.