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Finding the Fourth Proportional to 4,752.06, 7,092.45 and 4,674.24

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Solution

The fourth proportional to 4,752.06, 7,092.45 and 4,674.24 is: 6,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.06 : 7,092.45 = 4,674.24 : x
  2. Step 2: Convert to fraction form
    4,752.06/7,092.45 = 4,674.24/x
  3. Step 3: Cross multiply
    4,752.06x = 7,092.45 × 4,674.24
  4. Step 4: Simplify right side
    4,752.06x = 33,151,813.49
  5. Step 5: Solve for x
    x = 33,151,813.49/4,752.06
  6. Step 6: Final answer
    x = 6,976.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.