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Finding the Fourth Proportional to 4,816.72, 6,647.72 and 3,494.80

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Solution

The fourth proportional to 4,816.72, 6,647.72 and 3,494.80 is: 4,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.72 : 6,647.72 = 3,494.80 : x
  2. Step 2: Convert to fraction form
    4,816.72/6,647.72 = 3,494.80/x
  3. Step 3: Cross multiply
    4,816.72x = 6,647.72 × 3,494.80
  4. Step 4: Simplify right side
    4,816.72x = 23,232,451.86
  5. Step 5: Solve for x
    x = 23,232,451.86/4,816.72
  6. Step 6: Final answer
    x = 4,823.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.