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Finding the Fourth Proportional to 3,306.78, 4,960.17 and 1,575

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Solution

The fourth proportional to 3,306.78, 4,960.17 and 1,575 is: 2,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.78 : 4,960.17 = 1,575 : x
  2. Step 2: Convert to fraction form
    3,306.78/4,960.17 = 1,575/x
  3. Step 3: Cross multiply
    3,306.78x = 4,960.17 × 1,575
  4. Step 4: Simplify right side
    3,306.78x = 7,812,267.75
  5. Step 5: Solve for x
    x = 7,812,267.75/3,306.78
  6. Step 6: Final answer
    x = 2,362.50

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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.