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Finding the Fourth Proportional to 5,605.01, 8,409 and 4,992.92

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Solution

The fourth proportional to 5,605.01, 8,409 and 4,992.92 is: 7,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.01 : 8,409 = 4,992.92 : x
  2. Step 2: Convert to fraction form
    5,605.01/8,409 = 4,992.92/x
  3. Step 3: Cross multiply
    5,605.01x = 8,409 × 4,992.92
  4. Step 4: Simplify right side
    5,605.01x = 41,985,464.28
  5. Step 5: Solve for x
    x = 41,985,464.28/5,605.01
  6. Step 6: Final answer
    x = 7,490.70

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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.