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Finding the Fourth Proportional to 4,365.38, 6,023.94 and 2,597.12

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Solution

The fourth proportional to 4,365.38, 6,023.94 and 2,597.12 is: 3,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.38 : 6,023.94 = 2,597.12 : x
  2. Step 2: Convert to fraction form
    4,365.38/6,023.94 = 2,597.12/x
  3. Step 3: Cross multiply
    4,365.38x = 6,023.94 × 2,597.12
  4. Step 4: Simplify right side
    4,365.38x = 15,644,895.05
  5. Step 5: Solve for x
    x = 15,644,895.05/4,365.38
  6. Step 6: Final answer
    x = 3,583.86

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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.