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Finding the Fourth Proportional to 3,430.64, 5,147.20 and 1,349.50

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Solution

The fourth proportional to 3,430.64, 5,147.20 and 1,349.50 is: 2,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.64 : 5,147.20 = 1,349.50 : x
  2. Step 2: Convert to fraction form
    3,430.64/5,147.20 = 1,349.50/x
  3. Step 3: Cross multiply
    3,430.64x = 5,147.20 × 1,349.50
  4. Step 4: Simplify right side
    3,430.64x = 6,946,120.66
  5. Step 5: Solve for x
    x = 6,946,120.66/3,430.64
  6. Step 6: Final answer
    x = 2,024.73

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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.