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Finding the Fourth Proportional to 3,615.24, 5,420.24 and 2,442.34

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Solution

The fourth proportional to 3,615.24, 5,420.24 and 2,442.34 is: 3,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.24 : 5,420.24 = 2,442.34 : x
  2. Step 2: Convert to fraction form
    3,615.24/5,420.24 = 2,442.34/x
  3. Step 3: Cross multiply
    3,615.24x = 5,420.24 × 2,442.34
  4. Step 4: Simplify right side
    3,615.24x = 13,238,068.96
  5. Step 5: Solve for x
    x = 13,238,068.96/3,615.24
  6. Step 6: Final answer
    x = 3,661.74

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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.