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Finding the Fourth Proportional to 3,673.49, 5,483.30 and 3,156.80

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Solution

The fourth proportional to 3,673.49, 5,483.30 and 3,156.80 is: 4,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.49 : 5,483.30 = 3,156.80 : x
  2. Step 2: Convert to fraction form
    3,673.49/5,483.30 = 3,156.80/x
  3. Step 3: Cross multiply
    3,673.49x = 5,483.30 × 3,156.80
  4. Step 4: Simplify right side
    3,673.49x = 17,309,638.24
  5. Step 5: Solve for x
    x = 17,309,638.24/3,673.49
  6. Step 6: Final answer
    x = 4,712.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.