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Finding the Fourth Proportional to 4,809.74, 7,224.84 and 4,528.85

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Solution

The fourth proportional to 4,809.74, 7,224.84 and 4,528.85 is: 6,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.74 : 7,224.84 = 4,528.85 : x
  2. Step 2: Convert to fraction form
    4,809.74/7,224.84 = 4,528.85/x
  3. Step 3: Cross multiply
    4,809.74x = 7,224.84 × 4,528.85
  4. Step 4: Simplify right side
    4,809.74x = 32,720,180.51
  5. Step 5: Solve for x
    x = 32,720,180.51/4,809.74
  6. Step 6: Final answer
    x = 6,802.91

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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.