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Finding the Fourth Proportional to 3,802.98, 5,247.86 and 2,124.30

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Solution

The fourth proportional to 3,802.98, 5,247.86 and 2,124.30 is: 2,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.98 : 5,247.86 = 2,124.30 : x
  2. Step 2: Convert to fraction form
    3,802.98/5,247.86 = 2,124.30/x
  3. Step 3: Cross multiply
    3,802.98x = 5,247.86 × 2,124.30
  4. Step 4: Simplify right side
    3,802.98x = 11,148,018.38
  5. Step 5: Solve for x
    x = 11,148,018.38/3,802.98
  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.