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Finding the Fourth Proportional to 5,726.09, 8,590.98 and 2,441.99

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Solution

The fourth proportional to 5,726.09, 8,590.98 and 2,441.99 is: 3,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.09 : 8,590.98 = 2,441.99 : x
  2. Step 2: Convert to fraction form
    5,726.09/8,590.98 = 2,441.99/x
  3. Step 3: Cross multiply
    5,726.09x = 8,590.98 × 2,441.99
  4. Step 4: Simplify right side
    5,726.09x = 20,979,087.25
  5. Step 5: Solve for x
    x = 20,979,087.25/5,726.09
  6. Step 6: Final answer
    x = 3,663.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.