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Finding the Fourth Proportional to 6,402.41, 9,597.02 and 2,452.59

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Solution

The fourth proportional to 6,402.41, 9,597.02 and 2,452.59 is: 3,676.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.41 : 9,597.02 = 2,452.59 : x
  2. Step 2: Convert to fraction form
    6,402.41/9,597.02 = 2,452.59/x
  3. Step 3: Cross multiply
    6,402.41x = 9,597.02 × 2,452.59
  4. Step 4: Simplify right side
    6,402.41x = 23,537,561.41
  5. Step 5: Solve for x
    x = 23,537,561.41/6,402.41
  6. Step 6: Final answer
    x = 3,676.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.