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Finding the Fourth Proportional to 4,630.52, 6,398.34 and 4,040.12

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Solution

The fourth proportional to 4,630.52, 6,398.34 and 4,040.12 is: 5,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.52 : 6,398.34 = 4,040.12 : x
  2. Step 2: Convert to fraction form
    4,630.52/6,398.34 = 4,040.12/x
  3. Step 3: Cross multiply
    4,630.52x = 6,398.34 × 4,040.12
  4. Step 4: Simplify right side
    4,630.52x = 25,850,061.40
  5. Step 5: Solve for x
    x = 25,850,061.40/4,630.52
  6. Step 6: Final answer
    x = 5,582.54

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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.