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Finding the Fourth Proportional to 5,662.02, 8,477.76 and 3,193.14

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Solution

The fourth proportional to 5,662.02, 8,477.76 and 3,193.14 is: 4,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.02 : 8,477.76 = 3,193.14 : x
  2. Step 2: Convert to fraction form
    5,662.02/8,477.76 = 3,193.14/x
  3. Step 3: Cross multiply
    5,662.02x = 8,477.76 × 3,193.14
  4. Step 4: Simplify right side
    5,662.02x = 27,070,674.57
  5. Step 5: Solve for x
    x = 27,070,674.57/5,662.02
  6. Step 6: Final answer
    x = 4,781.10

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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.