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Finding the Fourth Proportional to 4,568.54, 6,853.14 and 4,024.49

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Solution

The fourth proportional to 4,568.54, 6,853.14 and 4,024.49 is: 6,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.54 : 6,853.14 = 4,024.49 : x
  2. Step 2: Convert to fraction form
    4,568.54/6,853.14 = 4,024.49/x
  3. Step 3: Cross multiply
    4,568.54x = 6,853.14 × 4,024.49
  4. Step 4: Simplify right side
    4,568.54x = 27,580,359.13
  5. Step 5: Solve for x
    x = 27,580,359.13/4,568.54
  6. Step 6: Final answer
    x = 6,037.02

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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.