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Finding the Fourth Proportional to 4,470.27, 6,171 and 3,056.25

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Solution

The fourth proportional to 4,470.27, 6,171 and 3,056.25 is: 4,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.27 : 6,171 = 3,056.25 : x
  2. Step 2: Convert to fraction form
    4,470.27/6,171 = 3,056.25/x
  3. Step 3: Cross multiply
    4,470.27x = 6,171 × 3,056.25
  4. Step 4: Simplify right side
    4,470.27x = 18,860,118.75
  5. Step 5: Solve for x
    x = 18,860,118.75/4,470.27
  6. Step 6: Final answer
    x = 4,219.01

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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.