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Finding the Fourth Proportional to 6,456.78, 8,910 and 3,662.28

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Solution

The fourth proportional to 6,456.78, 8,910 and 3,662.28 is: 5,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.78 : 8,910 = 3,662.28 : x
  2. Step 2: Convert to fraction form
    6,456.78/8,910 = 3,662.28/x
  3. Step 3: Cross multiply
    6,456.78x = 8,910 × 3,662.28
  4. Step 4: Simplify right side
    6,456.78x = 32,630,914.80
  5. Step 5: Solve for x
    x = 32,630,914.80/6,456.78
  6. Step 6: Final answer
    x = 5,053.74

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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.