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Finding the Fourth Proportional to 3,496.04, 5,244.60 and 1,187

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Solution

The fourth proportional to 3,496.04, 5,244.60 and 1,187 is: 1,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.04 : 5,244.60 = 1,187 : x
  2. Step 2: Convert to fraction form
    3,496.04/5,244.60 = 1,187/x
  3. Step 3: Cross multiply
    3,496.04x = 5,244.60 × 1,187
  4. Step 4: Simplify right side
    3,496.04x = 6,225,340.20
  5. Step 5: Solve for x
    x = 6,225,340.20/3,496.04
  6. Step 6: Final answer
    x = 1,780.68

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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.