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Finding the Fourth Proportional to 3,802.86, 5,247.77 and 2,124.27

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Solution

The fourth proportional to 3,802.86, 5,247.77 and 2,124.27 is: 2,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.86 : 5,247.77 = 2,124.27 : x
  2. Step 2: Convert to fraction form
    3,802.86/5,247.77 = 2,124.27/x
  3. Step 3: Cross multiply
    3,802.86x = 5,247.77 × 2,124.27
  4. Step 4: Simplify right side
    3,802.86x = 11,147,669.76
  5. Step 5: Solve for x
    x = 11,147,669.76/3,802.86
  6. Step 6: Final answer
    x = 2,931.39

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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.