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Finding the Fourth Proportional to 4,762.22, 7,143.26 and 1,299.47

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Solution

The fourth proportional to 4,762.22, 7,143.26 and 1,299.47 is: 1,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.22 : 7,143.26 = 1,299.47 : x
  2. Step 2: Convert to fraction form
    4,762.22/7,143.26 = 1,299.47/x
  3. Step 3: Cross multiply
    4,762.22x = 7,143.26 × 1,299.47
  4. Step 4: Simplify right side
    4,762.22x = 9,282,409.86
  5. Step 5: Solve for x
    x = 9,282,409.86/4,762.22
  6. Step 6: Final answer
    x = 1,949.18

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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.