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Finding the Fourth Proportional to 4,798.97, 7,193.12 and 2,024.81

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Solution

The fourth proportional to 4,798.97, 7,193.12 and 2,024.81 is: 3,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.97 : 7,193.12 = 2,024.81 : x
  2. Step 2: Convert to fraction form
    4,798.97/7,193.12 = 2,024.81/x
  3. Step 3: Cross multiply
    4,798.97x = 7,193.12 × 2,024.81
  4. Step 4: Simplify right side
    4,798.97x = 14,564,655.22
  5. Step 5: Solve for x
    x = 14,564,655.22/4,798.97
  6. Step 6: Final answer
    x = 3,034.96

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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.