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Finding the Fourth Proportional to 6,029.88, 8,329.62 and 4,549.20

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Solution

The fourth proportional to 6,029.88, 8,329.62 and 4,549.20 is: 6,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.88 : 8,329.62 = 4,549.20 : x
  2. Step 2: Convert to fraction form
    6,029.88/8,329.62 = 4,549.20/x
  3. Step 3: Cross multiply
    6,029.88x = 8,329.62 × 4,549.20
  4. Step 4: Simplify right side
    6,029.88x = 37,893,107.30
  5. Step 5: Solve for x
    x = 37,893,107.30/6,029.88
  6. Step 6: Final answer
    x = 6,284.22

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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.