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Finding the Fourth Proportional to 6,032.14, 8,329.17 and 4,044.40

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Solution

The fourth proportional to 6,032.14, 8,329.17 and 4,044.40 is: 5,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.14 : 8,329.17 = 4,044.40 : x
  2. Step 2: Convert to fraction form
    6,032.14/8,329.17 = 4,044.40/x
  3. Step 3: Cross multiply
    6,032.14x = 8,329.17 × 4,044.40
  4. Step 4: Simplify right side
    6,032.14x = 33,686,495.15
  5. Step 5: Solve for x
    x = 33,686,495.15/6,032.14
  6. Step 6: Final answer
    x = 5,584.50

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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.