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Finding the Fourth Proportional to 4,296.47, 6,445.34 and 1,334.22

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Solution

The fourth proportional to 4,296.47, 6,445.34 and 1,334.22 is: 2,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.47 : 6,445.34 = 1,334.22 : x
  2. Step 2: Convert to fraction form
    4,296.47/6,445.34 = 1,334.22/x
  3. Step 3: Cross multiply
    4,296.47x = 6,445.34 × 1,334.22
  4. Step 4: Simplify right side
    4,296.47x = 8,599,494.86
  5. Step 5: Solve for x
    x = 8,599,494.86/4,296.47
  6. Step 6: Final answer
    x = 2,001.53

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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.