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Finding the Fourth Proportional to 3,663.60, 5,482.80 and 2,203.80

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Solution

The fourth proportional to 3,663.60, 5,482.80 and 2,203.80 is: 3,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.60 : 5,482.80 = 2,203.80 : x
  2. Step 2: Convert to fraction form
    3,663.60/5,482.80 = 2,203.80/x
  3. Step 3: Cross multiply
    3,663.60x = 5,482.80 × 2,203.80
  4. Step 4: Simplify right side
    3,663.60x = 12,082,994.64
  5. Step 5: Solve for x
    x = 12,082,994.64/3,663.60
  6. Step 6: Final answer
    x = 3,298.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.