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Finding the Fourth Proportional to 6,006.08, 8,290.16 and 3,488.80

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Solution

The fourth proportional to 6,006.08, 8,290.16 and 3,488.80 is: 4,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.08 : 8,290.16 = 3,488.80 : x
  2. Step 2: Convert to fraction form
    6,006.08/8,290.16 = 3,488.80/x
  3. Step 3: Cross multiply
    6,006.08x = 8,290.16 × 3,488.80
  4. Step 4: Simplify right side
    6,006.08x = 28,922,710.21
  5. Step 5: Solve for x
    x = 28,922,710.21/6,006.08
  6. Step 6: Final answer
    x = 4,815.57

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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.