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Finding the Fourth Proportional to 3,670.50, 5,497.50 and 2,023.50

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Solution

The fourth proportional to 3,670.50, 5,497.50 and 2,023.50 is: 3,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.50 : 5,497.50 = 2,023.50 : x
  2. Step 2: Convert to fraction form
    3,670.50/5,497.50 = 2,023.50/x
  3. Step 3: Cross multiply
    3,670.50x = 5,497.50 × 2,023.50
  4. Step 4: Simplify right side
    3,670.50x = 11,124,191.25
  5. Step 5: Solve for x
    x = 11,124,191.25/3,670.50
  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.