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Finding the Fourth Proportional to 3,580.86, 4,942.01 and 2,254.62

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Solution

The fourth proportional to 3,580.86, 4,942.01 and 2,254.62 is: 3,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.86 : 4,942.01 = 2,254.62 : x
  2. Step 2: Convert to fraction form
    3,580.86/4,942.01 = 2,254.62/x
  3. Step 3: Cross multiply
    3,580.86x = 4,942.01 × 2,254.62
  4. Step 4: Simplify right side
    3,580.86x = 11,142,354.59
  5. Step 5: Solve for x
    x = 11,142,354.59/3,580.86
  6. Step 6: Final answer
    x = 3,111.64

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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.