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Finding the Fourth Proportional to 4,859.52, 7,277.40 and 2,263.20

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Solution

The fourth proportional to 4,859.52, 7,277.40 and 2,263.20 is: 3,389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.52 : 7,277.40 = 2,263.20 : x
  2. Step 2: Convert to fraction form
    4,859.52/7,277.40 = 2,263.20/x
  3. Step 3: Cross multiply
    4,859.52x = 7,277.40 × 2,263.20
  4. Step 4: Simplify right side
    4,859.52x = 16,470,211.68
  5. Step 5: Solve for x
    x = 16,470,211.68/4,859.52
  6. Step 6: Final answer
    x = 3,389.27

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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.