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Finding the Fourth Proportional to 4,152.54, 6,227.16 and 2,071.80

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Solution

The fourth proportional to 4,152.54, 6,227.16 and 2,071.80 is: 3,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.54 : 6,227.16 = 2,071.80 : x
  2. Step 2: Convert to fraction form
    4,152.54/6,227.16 = 2,071.80/x
  3. Step 3: Cross multiply
    4,152.54x = 6,227.16 × 2,071.80
  4. Step 4: Simplify right side
    4,152.54x = 12,901,430.09
  5. Step 5: Solve for x
    x = 12,901,430.09/4,152.54
  6. Step 6: Final answer
    x = 3,106.88

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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.