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Finding the Fourth Proportional to 3,999.61, 5,490.11 and 3,547.63

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Solution

The fourth proportional to 3,999.61, 5,490.11 and 3,547.63 is: 4,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.61 : 5,490.11 = 3,547.63 : x
  2. Step 2: Convert to fraction form
    3,999.61/5,490.11 = 3,547.63/x
  3. Step 3: Cross multiply
    3,999.61x = 5,490.11 × 3,547.63
  4. Step 4: Simplify right side
    3,999.61x = 19,476,878.94
  5. Step 5: Solve for x
    x = 19,476,878.94/3,999.61
  6. Step 6: Final answer
    x = 4,869.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.