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Finding the Fourth Proportional to 3,654.50, 5,478.54 and 1,898.52

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Solution

The fourth proportional to 3,654.50, 5,478.54 and 1,898.52 is: 2,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.50 : 5,478.54 = 1,898.52 : x
  2. Step 2: Convert to fraction form
    3,654.50/5,478.54 = 1,898.52/x
  3. Step 3: Cross multiply
    3,654.50x = 5,478.54 × 1,898.52
  4. Step 4: Simplify right side
    3,654.50x = 10,401,117.76
  5. Step 5: Solve for x
    x = 10,401,117.76/3,654.50
  6. Step 6: Final answer
    x = 2,846.11

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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.