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Finding the Fourth Proportional to 4,599.12, 6,349.14 and 4,150.92

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Solution

The fourth proportional to 4,599.12, 6,349.14 and 4,150.92 is: 5,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.12 : 6,349.14 = 4,150.92 : x
  2. Step 2: Convert to fraction form
    4,599.12/6,349.14 = 4,150.92/x
  3. Step 3: Cross multiply
    4,599.12x = 6,349.14 × 4,150.92
  4. Step 4: Simplify right side
    4,599.12x = 26,354,772.21
  5. Step 5: Solve for x
    x = 26,354,772.21/4,599.12
  6. Step 6: Final answer
    x = 5,730.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.