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Finding the Fourth Proportional to 5,268.40, 7,270.50 and 3,031

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Solution

The fourth proportional to 5,268.40, 7,270.50 and 3,031 is: 4,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.40 : 7,270.50 = 3,031 : x
  2. Step 2: Convert to fraction form
    5,268.40/7,270.50 = 3,031/x
  3. Step 3: Cross multiply
    5,268.40x = 7,270.50 × 3,031
  4. Step 4: Simplify right side
    5,268.40x = 22,036,885.50
  5. Step 5: Solve for x
    x = 22,036,885.50/5,268.40
  6. Step 6: Final answer
    x = 4,182.84

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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.