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Finding the Fourth Proportional to 4,566.22, 6,840.16 and 2,097.60

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Solution

The fourth proportional to 4,566.22, 6,840.16 and 2,097.60 is: 3,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.22 : 6,840.16 = 2,097.60 : x
  2. Step 2: Convert to fraction form
    4,566.22/6,840.16 = 2,097.60/x
  3. Step 3: Cross multiply
    4,566.22x = 6,840.16 × 2,097.60
  4. Step 4: Simplify right side
    4,566.22x = 14,347,919.62
  5. Step 5: Solve for x
    x = 14,347,919.62/4,566.22
  6. Step 6: Final answer
    x = 3,142.19

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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.