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Finding the Fourth Proportional to 3,483.76, 5,218.74 and 2,097.46

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Solution

The fourth proportional to 3,483.76, 5,218.74 and 2,097.46 is: 3,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.76 : 5,218.74 = 2,097.46 : x
  2. Step 2: Convert to fraction form
    3,483.76/5,218.74 = 2,097.46/x
  3. Step 3: Cross multiply
    3,483.76x = 5,218.74 × 2,097.46
  4. Step 4: Simplify right side
    3,483.76x = 10,946,098.40
  5. Step 5: Solve for x
    x = 10,946,098.40/3,483.76
  6. Step 6: Final answer
    x = 3,142.04

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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.