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Finding the Fourth Proportional to 4,059.86, 5,602.97 and 2,291.63

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Solution

The fourth proportional to 4,059.86, 5,602.97 and 2,291.63 is: 3,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.86 : 5,602.97 = 2,291.63 : x
  2. Step 2: Convert to fraction form
    4,059.86/5,602.97 = 2,291.63/x
  3. Step 3: Cross multiply
    4,059.86x = 5,602.97 × 2,291.63
  4. Step 4: Simplify right side
    4,059.86x = 12,839,911.86
  5. Step 5: Solve for x
    x = 12,839,911.86/4,059.86
  6. Step 6: Final answer
    x = 3,162.65

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