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Finding the Fourth Proportional to 4,847.16, 7,270.79 and 3,117

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Solution

The fourth proportional to 4,847.16, 7,270.79 and 3,117 is: 4,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.16 : 7,270.79 = 3,117 : x
  2. Step 2: Convert to fraction form
    4,847.16/7,270.79 = 3,117/x
  3. Step 3: Cross multiply
    4,847.16x = 7,270.79 × 3,117
  4. Step 4: Simplify right side
    4,847.16x = 22,663,036.85
  5. Step 5: Solve for x
    x = 22,663,036.85/4,847.16
  6. Step 6: Final answer
    x = 4,675.53

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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.