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Finding the Fourth Proportional to 6,445.76, 8,884.80 and 4,346.24

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Solution

The fourth proportional to 6,445.76, 8,884.80 and 4,346.24 is: 5,990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.76 : 8,884.80 = 4,346.24 : x
  2. Step 2: Convert to fraction form
    6,445.76/8,884.80 = 4,346.24/x
  3. Step 3: Cross multiply
    6,445.76x = 8,884.80 × 4,346.24
  4. Step 4: Simplify right side
    6,445.76x = 38,615,473.15
  5. Step 5: Solve for x
    x = 38,615,473.15/6,445.76
  6. Step 6: Final answer
    x = 5,990.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.