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Finding the Fourth Proportional to 4,727, 7,098.60 and 4,480.76

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Solution

The fourth proportional to 4,727, 7,098.60 and 4,480.76 is: 6,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727 : 7,098.60 = 4,480.76 : x
  2. Step 2: Convert to fraction form
    4,727/7,098.60 = 4,480.76/x
  3. Step 3: Cross multiply
    4,727x = 7,098.60 × 4,480.76
  4. Step 4: Simplify right side
    4,727x = 31,807,122.94
  5. Step 5: Solve for x
    x = 31,807,122.94/4,727
  6. Step 6: Final answer
    x = 6,728.82

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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.