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Finding the Fourth Proportional to 4,959.52, 7,440.36 and 1,496.50

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Solution

The fourth proportional to 4,959.52, 7,440.36 and 1,496.50 is: 2,245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.52 : 7,440.36 = 1,496.50 : x
  2. Step 2: Convert to fraction form
    4,959.52/7,440.36 = 1,496.50/x
  3. Step 3: Cross multiply
    4,959.52x = 7,440.36 × 1,496.50
  4. Step 4: Simplify right side
    4,959.52x = 11,134,498.74
  5. Step 5: Solve for x
    x = 11,134,498.74/4,959.52
  6. Step 6: Final answer
    x = 2,245.08

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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.