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Finding the Fourth Proportional to 3,488.61, 4,813.65 and 2,649.09

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Solution

The fourth proportional to 3,488.61, 4,813.65 and 2,649.09 is: 3,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.61 : 4,813.65 = 2,649.09 : x
  2. Step 2: Convert to fraction form
    3,488.61/4,813.65 = 2,649.09/x
  3. Step 3: Cross multiply
    3,488.61x = 4,813.65 × 2,649.09
  4. Step 4: Simplify right side
    3,488.61x = 12,751,792.08
  5. Step 5: Solve for x
    x = 12,751,792.08/3,488.61
  6. Step 6: Final answer
    x = 3,655.26

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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.