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Finding the Fourth Proportional to 3,473.30, 5,210.48 and 1,499.48

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Solution

The fourth proportional to 3,473.30, 5,210.48 and 1,499.48 is: 2,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.30 : 5,210.48 = 1,499.48 : x
  2. Step 2: Convert to fraction form
    3,473.30/5,210.48 = 1,499.48/x
  3. Step 3: Cross multiply
    3,473.30x = 5,210.48 × 1,499.48
  4. Step 4: Simplify right side
    3,473.30x = 7,813,010.55
  5. Step 5: Solve for x
    x = 7,813,010.55/3,473.30
  6. Step 6: Final answer
    x = 2,249.45

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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.