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Finding the Fourth Proportional to 4,276.86, 5,902 and 2,508.12

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Solution

The fourth proportional to 4,276.86, 5,902 and 2,508.12 is: 3,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.86 : 5,902 = 2,508.12 : x
  2. Step 2: Convert to fraction form
    4,276.86/5,902 = 2,508.12/x
  3. Step 3: Cross multiply
    4,276.86x = 5,902 × 2,508.12
  4. Step 4: Simplify right side
    4,276.86x = 14,802,924.24
  5. Step 5: Solve for x
    x = 14,802,924.24/4,276.86
  6. Step 6: Final answer
    x = 3,461.17

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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.