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Finding the Fourth Proportional to 4,645.50, 6,410.80 and 2,549.62

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Solution

The fourth proportional to 4,645.50, 6,410.80 and 2,549.62 is: 3,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.50 : 6,410.80 = 2,549.62 : x
  2. Step 2: Convert to fraction form
    4,645.50/6,410.80 = 2,549.62/x
  3. Step 3: Cross multiply
    4,645.50x = 6,410.80 × 2,549.62
  4. Step 4: Simplify right side
    4,645.50x = 16,345,103.90
  5. Step 5: Solve for x
    x = 16,345,103.90/4,645.50
  6. Step 6: Final answer
    x = 3,518.48

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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.