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Finding the Fourth Proportional to 3,420.02, 5,129.43 and 954.86

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Solution

The fourth proportional to 3,420.02, 5,129.43 and 954.86 is: 1,432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.02 : 5,129.43 = 954.86 : x
  2. Step 2: Convert to fraction form
    3,420.02/5,129.43 = 954.86/x
  3. Step 3: Cross multiply
    3,420.02x = 5,129.43 × 954.86
  4. Step 4: Simplify right side
    3,420.02x = 4,897,861.88
  5. Step 5: Solve for x
    x = 4,897,861.88/3,420.02
  6. Step 6: Final answer
    x = 1,432.12

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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.