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Finding the Fourth Proportional to 4,762.51, 7,143.68 and 1,299.76

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Solution

The fourth proportional to 4,762.51, 7,143.68 and 1,299.76 is: 1,949.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.51 : 7,143.68 = 1,299.76 : x
  2. Step 2: Convert to fraction form
    4,762.51/7,143.68 = 1,299.76/x
  3. Step 3: Cross multiply
    4,762.51x = 7,143.68 × 1,299.76
  4. Step 4: Simplify right side
    4,762.51x = 9,285,069.52
  5. Step 5: Solve for x
    x = 9,285,069.52/4,762.51
  6. Step 6: Final answer
    x = 1,949.62

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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.