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Finding the Fourth Proportional to 4,756.47, 7,134.64 and 1,293.72

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Solution

The fourth proportional to 4,756.47, 7,134.64 and 1,293.72 is: 1,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.47 : 7,134.64 = 1,293.72 : x
  2. Step 2: Convert to fraction form
    4,756.47/7,134.64 = 1,293.72/x
  3. Step 3: Cross multiply
    4,756.47x = 7,134.64 × 1,293.72
  4. Step 4: Simplify right side
    4,756.47x = 9,230,226.46
  5. Step 5: Solve for x
    x = 9,230,226.46/4,756.47
  6. Step 6: Final answer
    x = 1,940.56

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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.