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Finding the Fourth Proportional to 4,975.38, 7,460.88 and 1,511.82

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Solution

The fourth proportional to 4,975.38, 7,460.88 and 1,511.82 is: 2,267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.38 : 7,460.88 = 1,511.82 : x
  2. Step 2: Convert to fraction form
    4,975.38/7,460.88 = 1,511.82/x
  3. Step 3: Cross multiply
    4,975.38x = 7,460.88 × 1,511.82
  4. Step 4: Simplify right side
    4,975.38x = 11,279,507.60
  5. Step 5: Solve for x
    x = 11,279,507.60/4,975.38
  6. Step 6: Final answer
    x = 2,267.06

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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.