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Finding the Fourth Proportional to 4,983, 7,470.75 and 3,009.30

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Solution

The fourth proportional to 4,983, 7,470.75 and 3,009.30 is: 4,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983 : 7,470.75 = 3,009.30 : x
  2. Step 2: Convert to fraction form
    4,983/7,470.75 = 3,009.30/x
  3. Step 3: Cross multiply
    4,983x = 7,470.75 × 3,009.30
  4. Step 4: Simplify right side
    4,983x = 22,481,727.98
  5. Step 5: Solve for x
    x = 22,481,727.98/4,983
  6. Step 6: Final answer
    x = 4,511.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.