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Finding the Fourth Proportional to 5,477.64, 8,220.44 and 2,146.40

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Solution

The fourth proportional to 5,477.64, 8,220.44 and 2,146.40 is: 3,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.64 : 8,220.44 = 2,146.40 : x
  2. Step 2: Convert to fraction form
    5,477.64/8,220.44 = 2,146.40/x
  3. Step 3: Cross multiply
    5,477.64x = 8,220.44 × 2,146.40
  4. Step 4: Simplify right side
    5,477.64x = 17,644,352.42
  5. Step 5: Solve for x
    x = 17,644,352.42/5,477.64
  6. Step 6: Final answer
    x = 3,221.16

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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.