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Finding the Fourth Proportional to 3,376.86, 4,664.64 and 2,543.88

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Solution

The fourth proportional to 3,376.86, 4,664.64 and 2,543.88 is: 3,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.86 : 4,664.64 = 2,543.88 : x
  2. Step 2: Convert to fraction form
    3,376.86/4,664.64 = 2,543.88/x
  3. Step 3: Cross multiply
    3,376.86x = 4,664.64 × 2,543.88
  4. Step 4: Simplify right side
    3,376.86x = 11,866,284.40
  5. Step 5: Solve for x
    x = 11,866,284.40/3,376.86
  6. Step 6: Final answer
    x = 3,514.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.