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Finding the Fourth Proportional to 4,986.41, 7,482.49 and 2,024.24

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Solution

The fourth proportional to 4,986.41, 7,482.49 and 2,024.24 is: 3,037.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.41 : 7,482.49 = 2,024.24 : x
  2. Step 2: Convert to fraction form
    4,986.41/7,482.49 = 2,024.24/x
  3. Step 3: Cross multiply
    4,986.41x = 7,482.49 × 2,024.24
  4. Step 4: Simplify right side
    4,986.41x = 15,146,313.08
  5. Step 5: Solve for x
    x = 15,146,313.08/4,986.41
  6. Step 6: Final answer
    x = 3,037.52

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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.