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Finding the Fourth Proportional to 3,670.49, 5,497.50 and 2,023.49

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Solution

The fourth proportional to 3,670.49, 5,497.50 and 2,023.49 is: 3,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.49 : 5,497.50 = 2,023.49 : x
  2. Step 2: Convert to fraction form
    3,670.49/5,497.50 = 2,023.49/x
  3. Step 3: Cross multiply
    3,670.49x = 5,497.50 × 2,023.49
  4. Step 4: Simplify right side
    3,670.49x = 11,124,136.28
  5. Step 5: Solve for x
    x = 11,124,136.28/3,670.49
  6. Step 6: Final answer
    x = 3,030.70

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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.