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Finding the Fourth Proportional to 3,537.61, 5,302.76 and 1,196.84

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Solution

The fourth proportional to 3,537.61, 5,302.76 and 1,196.84 is: 1,794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.61 : 5,302.76 = 1,196.84 : x
  2. Step 2: Convert to fraction form
    3,537.61/5,302.76 = 1,196.84/x
  3. Step 3: Cross multiply
    3,537.61x = 5,302.76 × 1,196.84
  4. Step 4: Simplify right side
    3,537.61x = 6,346,562.55
  5. Step 5: Solve for x
    x = 6,346,562.55/3,537.61
  6. Step 6: Final answer
    x = 1,794.03

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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.