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Finding the Fourth Proportional to 4,992.52, 7,490.22 and 1,530.28

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Solution

The fourth proportional to 4,992.52, 7,490.22 and 1,530.28 is: 2,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.52 : 7,490.22 = 1,530.28 : x
  2. Step 2: Convert to fraction form
    4,992.52/7,490.22 = 1,530.28/x
  3. Step 3: Cross multiply
    4,992.52x = 7,490.22 × 1,530.28
  4. Step 4: Simplify right side
    4,992.52x = 11,462,133.86
  5. Step 5: Solve for x
    x = 11,462,133.86/4,992.52
  6. Step 6: Final answer
    x = 2,295.86

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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.