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Finding the Fourth Proportional to 3,802.49, 5,699.02 and 2,154.04

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Solution

The fourth proportional to 3,802.49, 5,699.02 and 2,154.04 is: 3,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.49 : 5,699.02 = 2,154.04 : x
  2. Step 2: Convert to fraction form
    3,802.49/5,699.02 = 2,154.04/x
  3. Step 3: Cross multiply
    3,802.49x = 5,699.02 × 2,154.04
  4. Step 4: Simplify right side
    3,802.49x = 12,275,897.41
  5. Step 5: Solve for x
    x = 12,275,897.41/3,802.49
  6. Step 6: Final answer
    x = 3,228.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.