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Finding the Fourth Proportional to 4,752.66, 7,129.98 and 2,412.96

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Solution

The fourth proportional to 4,752.66, 7,129.98 and 2,412.96 is: 3,619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.66 : 7,129.98 = 2,412.96 : x
  2. Step 2: Convert to fraction form
    4,752.66/7,129.98 = 2,412.96/x
  3. Step 3: Cross multiply
    4,752.66x = 7,129.98 × 2,412.96
  4. Step 4: Simplify right side
    4,752.66x = 17,204,356.54
  5. Step 5: Solve for x
    x = 17,204,356.54/4,752.66
  6. Step 6: Final answer
    x = 3,619.94

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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.