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Finding the Fourth Proportional to 6,329.48, 8,734.65 and 3,534.98

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Solution

The fourth proportional to 6,329.48, 8,734.65 and 3,534.98 is: 4,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.48 : 8,734.65 = 3,534.98 : x
  2. Step 2: Convert to fraction form
    6,329.48/8,734.65 = 3,534.98/x
  3. Step 3: Cross multiply
    6,329.48x = 8,734.65 × 3,534.98
  4. Step 4: Simplify right side
    6,329.48x = 30,876,813.06
  5. Step 5: Solve for x
    x = 30,876,813.06/6,329.48
  6. Step 6: Final answer
    x = 4,878.25

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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.