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Finding the Fourth Proportional to 4,677.83, 6,456.21 and 4,467.64

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Solution

The fourth proportional to 4,677.83, 6,456.21 and 4,467.64 is: 6,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.83 : 6,456.21 = 4,467.64 : x
  2. Step 2: Convert to fraction form
    4,677.83/6,456.21 = 4,467.64/x
  3. Step 3: Cross multiply
    4,677.83x = 6,456.21 × 4,467.64
  4. Step 4: Simplify right side
    4,677.83x = 28,844,005.90
  5. Step 5: Solve for x
    x = 28,844,005.90/4,677.83
  6. Step 6: Final answer
    x = 6,166.10

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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.