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Finding the Fourth Proportional to 5,023, 7,534.50 and 2,287

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Solution

The fourth proportional to 5,023, 7,534.50 and 2,287 is: 3,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023 : 7,534.50 = 2,287 : x
  2. Step 2: Convert to fraction form
    5,023/7,534.50 = 2,287/x
  3. Step 3: Cross multiply
    5,023x = 7,534.50 × 2,287
  4. Step 4: Simplify right side
    5,023x = 17,231,401.50
  5. Step 5: Solve for x
    x = 17,231,401.50/5,023
  6. Step 6: Final answer
    x = 3,430.50

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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.