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Finding the Fourth Proportional to 4,960.52, 7,441.74 and 1,497.32

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Solution

The fourth proportional to 4,960.52, 7,441.74 and 1,497.32 is: 2,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.52 : 7,441.74 = 1,497.32 : x
  2. Step 2: Convert to fraction form
    4,960.52/7,441.74 = 1,497.32/x
  3. Step 3: Cross multiply
    4,960.52x = 7,441.74 × 1,497.32
  4. Step 4: Simplify right side
    4,960.52x = 11,142,666.14
  5. Step 5: Solve for x
    x = 11,142,666.14/4,960.52
  6. Step 6: Final answer
    x = 2,246.27

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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.