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Finding the Fourth Proportional to 3,464.86, 5,197.54 and 999.53

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Solution

The fourth proportional to 3,464.86, 5,197.54 and 999.53 is: 1,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.86 : 5,197.54 = 999.53 : x
  2. Step 2: Convert to fraction form
    3,464.86/5,197.54 = 999.53/x
  3. Step 3: Cross multiply
    3,464.86x = 5,197.54 × 999.53
  4. Step 4: Simplify right side
    3,464.86x = 5,195,085.54
  5. Step 5: Solve for x
    x = 5,195,085.54/3,464.86
  6. Step 6: Final answer
    x = 1,499.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.