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Finding the Fourth Proportional to 4,801.61, 7,196.25 and 3,703.67

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Solution

The fourth proportional to 4,801.61, 7,196.25 and 3,703.67 is: 5,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.61 : 7,196.25 = 3,703.67 : x
  2. Step 2: Convert to fraction form
    4,801.61/7,196.25 = 3,703.67/x
  3. Step 3: Cross multiply
    4,801.61x = 7,196.25 × 3,703.67
  4. Step 4: Simplify right side
    4,801.61x = 26,652,499.26
  5. Step 5: Solve for x
    x = 26,652,499.26/4,801.61
  6. Step 6: Final answer
    x = 5,550.75

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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.