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Finding the Fourth Proportional to 4,848.58, 7,274 and 1,561.70

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Solution

The fourth proportional to 4,848.58, 7,274 and 1,561.70 is: 2,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.58 : 7,274 = 1,561.70 : x
  2. Step 2: Convert to fraction form
    4,848.58/7,274 = 1,561.70/x
  3. Step 3: Cross multiply
    4,848.58x = 7,274 × 1,561.70
  4. Step 4: Simplify right side
    4,848.58x = 11,359,805.80
  5. Step 5: Solve for x
    x = 11,359,805.80/4,848.58
  6. Step 6: Final answer
    x = 2,342.91

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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.