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Finding the Fourth Proportional to 4,652.22, 6,978.64 and 2,055.18

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Solution

The fourth proportional to 4,652.22, 6,978.64 and 2,055.18 is: 3,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.22 : 6,978.64 = 2,055.18 : x
  2. Step 2: Convert to fraction form
    4,652.22/6,978.64 = 2,055.18/x
  3. Step 3: Cross multiply
    4,652.22x = 6,978.64 × 2,055.18
  4. Step 4: Simplify right side
    4,652.22x = 14,342,361.36
  5. Step 5: Solve for x
    x = 14,342,361.36/4,652.22
  6. Step 6: Final answer
    x = 3,082.91

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Why These Related Problems?

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