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Finding the Fourth Proportional to 3,430.34, 5,144.72 and 965.40

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Solution

The fourth proportional to 3,430.34, 5,144.72 and 965.40 is: 1,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.34 : 5,144.72 = 965.40 : x
  2. Step 2: Convert to fraction form
    3,430.34/5,144.72 = 965.40/x
  3. Step 3: Cross multiply
    3,430.34x = 5,144.72 × 965.40
  4. Step 4: Simplify right side
    3,430.34x = 4,966,707.86
  5. Step 5: Solve for x
    x = 4,966,707.86/3,430.34
  6. Step 6: Final answer
    x = 1,447.88

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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.