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Finding the Fourth Proportional to 3,465.24, 5,196.64 and 999.39

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Solution

The fourth proportional to 3,465.24, 5,196.64 and 999.39 is: 1,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.24 : 5,196.64 = 999.39 : x
  2. Step 2: Convert to fraction form
    3,465.24/5,196.64 = 999.39/x
  3. Step 3: Cross multiply
    3,465.24x = 5,196.64 × 999.39
  4. Step 4: Simplify right side
    3,465.24x = 5,193,470.05
  5. Step 5: Solve for x
    x = 5,193,470.05/3,465.24
  6. Step 6: Final answer
    x = 1,498.73

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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.