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Finding the Fourth Proportional to 3,662.04, 5,054.52 and 2,467.20

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Solution

The fourth proportional to 3,662.04, 5,054.52 and 2,467.20 is: 3,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.04 : 5,054.52 = 2,467.20 : x
  2. Step 2: Convert to fraction form
    3,662.04/5,054.52 = 2,467.20/x
  3. Step 3: Cross multiply
    3,662.04x = 5,054.52 × 2,467.20
  4. Step 4: Simplify right side
    3,662.04x = 12,470,511.74
  5. Step 5: Solve for x
    x = 12,470,511.74/3,662.04
  6. Step 6: Final answer
    x = 3,405.35

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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.