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Finding the Fourth Proportional to 4,848.24, 7,266.38 and 3,454

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Solution

The fourth proportional to 4,848.24, 7,266.38 and 3,454 is: 5,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.24 : 7,266.38 = 3,454 : x
  2. Step 2: Convert to fraction form
    4,848.24/7,266.38 = 3,454/x
  3. Step 3: Cross multiply
    4,848.24x = 7,266.38 × 3,454
  4. Step 4: Simplify right side
    4,848.24x = 25,098,076.52
  5. Step 5: Solve for x
    x = 25,098,076.52/4,848.24
  6. Step 6: Final answer
    x = 5,176.74

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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.