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Finding the Fourth Proportional to 3,999.86, 5,490.43 and 3,547.88

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Solution

The fourth proportional to 3,999.86, 5,490.43 and 3,547.88 is: 4,870.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.86 : 5,490.43 = 3,547.88 : x
  2. Step 2: Convert to fraction form
    3,999.86/5,490.43 = 3,547.88/x
  3. Step 3: Cross multiply
    3,999.86x = 5,490.43 × 3,547.88
  4. Step 4: Simplify right side
    3,999.86x = 19,479,386.79
  5. Step 5: Solve for x
    x = 19,479,386.79/3,999.86
  6. Step 6: Final answer
    x = 4,870.02

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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.