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Finding the Fourth Proportional to 6,424.58, 8,864.88 and 3,905.34

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Solution

The fourth proportional to 6,424.58, 8,864.88 and 3,905.34 is: 5,388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.58 : 8,864.88 = 3,905.34 : x
  2. Step 2: Convert to fraction form
    6,424.58/8,864.88 = 3,905.34/x
  3. Step 3: Cross multiply
    6,424.58x = 8,864.88 × 3,905.34
  4. Step 4: Simplify right side
    6,424.58x = 34,620,370.46
  5. Step 5: Solve for x
    x = 34,620,370.46/6,424.58
  6. Step 6: Final answer
    x = 5,388.74

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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.