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Finding the Fourth Proportional to 5,083.84, 7,625.76 and 3,339.86

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Solution

The fourth proportional to 5,083.84, 7,625.76 and 3,339.86 is: 5,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.84 : 7,625.76 = 3,339.86 : x
  2. Step 2: Convert to fraction form
    5,083.84/7,625.76 = 3,339.86/x
  3. Step 3: Cross multiply
    5,083.84x = 7,625.76 × 3,339.86
  4. Step 4: Simplify right side
    5,083.84x = 25,468,989.86
  5. Step 5: Solve for x
    x = 25,468,989.86/5,083.84
  6. Step 6: Final answer
    x = 5,009.80

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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.