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Finding the Fourth Proportional to 4,289.34, 6,434.82 and 2,442.54

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Solution

The fourth proportional to 4,289.34, 6,434.82 and 2,442.54 is: 3,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.34 : 6,434.82 = 2,442.54 : x
  2. Step 2: Convert to fraction form
    4,289.34/6,434.82 = 2,442.54/x
  3. Step 3: Cross multiply
    4,289.34x = 6,434.82 × 2,442.54
  4. Step 4: Simplify right side
    4,289.34x = 15,717,305.24
  5. Step 5: Solve for x
    x = 15,717,305.24/4,289.34
  6. Step 6: Final answer
    x = 3,664.27

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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.