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Finding the Fourth Proportional to 3,477.34, 4,795.94 and 3,056.80

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Solution

The fourth proportional to 3,477.34, 4,795.94 and 3,056.80 is: 4,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.34 : 4,795.94 = 3,056.80 : x
  2. Step 2: Convert to fraction form
    3,477.34/4,795.94 = 3,056.80/x
  3. Step 3: Cross multiply
    3,477.34x = 4,795.94 × 3,056.80
  4. Step 4: Simplify right side
    3,477.34x = 14,660,229.39
  5. Step 5: Solve for x
    x = 14,660,229.39/3,477.34
  6. Step 6: Final answer
    x = 4,215.93

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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.