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Finding the Fourth Proportional to 3,547.86, 4,891.23 and 2,883.66

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Solution

The fourth proportional to 3,547.86, 4,891.23 and 2,883.66 is: 3,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.86 : 4,891.23 = 2,883.66 : x
  2. Step 2: Convert to fraction form
    3,547.86/4,891.23 = 2,883.66/x
  3. Step 3: Cross multiply
    3,547.86x = 4,891.23 × 2,883.66
  4. Step 4: Simplify right side
    3,547.86x = 14,104,644.30
  5. Step 5: Solve for x
    x = 14,104,644.30/3,547.86
  6. Step 6: Final answer
    x = 3,975.54

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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.