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Finding the Fourth Proportional to 4,227.58, 5,835 and 2,657.80

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Solution

The fourth proportional to 4,227.58, 5,835 and 2,657.80 is: 3,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.58 : 5,835 = 2,657.80 : x
  2. Step 2: Convert to fraction form
    4,227.58/5,835 = 2,657.80/x
  3. Step 3: Cross multiply
    4,227.58x = 5,835 × 2,657.80
  4. Step 4: Simplify right side
    4,227.58x = 15,508,263.00
  5. Step 5: Solve for x
    x = 15,508,263.00/4,227.58
  6. Step 6: Final answer
    x = 3,668.35

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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.