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Finding the Fourth Proportional to 4,756.64, 7,134.88 and 1,293.76

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Solution

The fourth proportional to 4,756.64, 7,134.88 and 1,293.76 is: 1,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.64 : 7,134.88 = 1,293.76 : x
  2. Step 2: Convert to fraction form
    4,756.64/7,134.88 = 1,293.76/x
  3. Step 3: Cross multiply
    4,756.64x = 7,134.88 × 1,293.76
  4. Step 4: Simplify right side
    4,756.64x = 9,230,822.35
  5. Step 5: Solve for x
    x = 9,230,822.35/4,756.64
  6. Step 6: Final answer
    x = 1,940.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.