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Finding the Fourth Proportional to 5,474.70, 8,212.05 and 4,848.30

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Solution

The fourth proportional to 5,474.70, 8,212.05 and 4,848.30 is: 7,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.70 : 8,212.05 = 4,848.30 : x
  2. Step 2: Convert to fraction form
    5,474.70/8,212.05 = 4,848.30/x
  3. Step 3: Cross multiply
    5,474.70x = 8,212.05 × 4,848.30
  4. Step 4: Simplify right side
    5,474.70x = 39,814,482.02
  5. Step 5: Solve for x
    x = 39,814,482.02/5,474.70
  6. Step 6: Final answer
    x = 7,272.45

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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.