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Finding the Fourth Proportional to 4,946.64, 7,419.99 and 2,024.94

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Solution

The fourth proportional to 4,946.64, 7,419.99 and 2,024.94 is: 3,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.64 : 7,419.99 = 2,024.94 : x
  2. Step 2: Convert to fraction form
    4,946.64/7,419.99 = 2,024.94/x
  3. Step 3: Cross multiply
    4,946.64x = 7,419.99 × 2,024.94
  4. Step 4: Simplify right side
    4,946.64x = 15,025,034.55
  5. Step 5: Solve for x
    x = 15,025,034.55/4,946.64
  6. Step 6: Final answer
    x = 3,037.42

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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.