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Finding the Fourth Proportional to 3,508.04, 5,262.60 and 1,199

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Solution

The fourth proportional to 3,508.04, 5,262.60 and 1,199 is: 1,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.04 : 5,262.60 = 1,199 : x
  2. Step 2: Convert to fraction form
    3,508.04/5,262.60 = 1,199/x
  3. Step 3: Cross multiply
    3,508.04x = 5,262.60 × 1,199
  4. Step 4: Simplify right side
    3,508.04x = 6,309,857.40
  5. Step 5: Solve for x
    x = 6,309,857.40/3,508.04
  6. Step 6: Final answer
    x = 1,798.68

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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.