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Finding the Fourth Proportional to 5,306, 7,955.28 and 2,493.20

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Solution

The fourth proportional to 5,306, 7,955.28 and 2,493.20 is: 3,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306 : 7,955.28 = 2,493.20 : x
  2. Step 2: Convert to fraction form
    5,306/7,955.28 = 2,493.20/x
  3. Step 3: Cross multiply
    5,306x = 7,955.28 × 2,493.20
  4. Step 4: Simplify right side
    5,306x = 19,834,104.10
  5. Step 5: Solve for x
    x = 19,834,104.10/5,306
  6. Step 6: Final answer
    x = 3,738.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.