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Finding the Fourth Proportional to 3,155.64, 4,354.22 and 2,214.32

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Solution

The fourth proportional to 3,155.64, 4,354.22 and 2,214.32 is: 3,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.64 : 4,354.22 = 2,214.32 : x
  2. Step 2: Convert to fraction form
    3,155.64/4,354.22 = 2,214.32/x
  3. Step 3: Cross multiply
    3,155.64x = 4,354.22 × 2,214.32
  4. Step 4: Simplify right side
    3,155.64x = 9,641,636.43
  5. Step 5: Solve for x
    x = 9,641,636.43/3,155.64
  6. Step 6: Final answer
    x = 3,055.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.