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Finding the Fourth Proportional to 6,269.24, 8,658 and 5,425.89

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Solution

The fourth proportional to 6,269.24, 8,658 and 5,425.89 is: 7,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.24 : 8,658 = 5,425.89 : x
  2. Step 2: Convert to fraction form
    6,269.24/8,658 = 5,425.89/x
  3. Step 3: Cross multiply
    6,269.24x = 8,658 × 5,425.89
  4. Step 4: Simplify right side
    6,269.24x = 46,977,355.62
  5. Step 5: Solve for x
    x = 46,977,355.62/6,269.24
  6. Step 6: Final answer
    x = 7,493.32

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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.