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Finding the Fourth Proportional to 3,463.85, 5,196.18 and 999.06

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Solution

The fourth proportional to 3,463.85, 5,196.18 and 999.06 is: 1,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.85 : 5,196.18 = 999.06 : x
  2. Step 2: Convert to fraction form
    3,463.85/5,196.18 = 999.06/x
  3. Step 3: Cross multiply
    3,463.85x = 5,196.18 × 999.06
  4. Step 4: Simplify right side
    3,463.85x = 5,191,295.59
  5. Step 5: Solve for x
    x = 5,191,295.59/3,463.85
  6. Step 6: Final answer
    x = 1,498.71

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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.