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Finding the Fourth Proportional to 5,225.66, 7,840.52 and 2,301.92

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Solution

The fourth proportional to 5,225.66, 7,840.52 and 2,301.92 is: 3,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.66 : 7,840.52 = 2,301.92 : x
  2. Step 2: Convert to fraction form
    5,225.66/7,840.52 = 2,301.92/x
  3. Step 3: Cross multiply
    5,225.66x = 7,840.52 × 2,301.92
  4. Step 4: Simplify right side
    5,225.66x = 18,048,249.80
  5. Step 5: Solve for x
    x = 18,048,249.80/5,225.66
  6. Step 6: Final answer
    x = 3,453.77

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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.