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Finding the Fourth Proportional to 4,722.72, 7,085.10 and 1,435.56

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Solution

The fourth proportional to 4,722.72, 7,085.10 and 1,435.56 is: 2,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.72 : 7,085.10 = 1,435.56 : x
  2. Step 2: Convert to fraction form
    4,722.72/7,085.10 = 1,435.56/x
  3. Step 3: Cross multiply
    4,722.72x = 7,085.10 × 1,435.56
  4. Step 4: Simplify right side
    4,722.72x = 10,171,086.16
  5. Step 5: Solve for x
    x = 10,171,086.16/4,722.72
  6. Step 6: Final answer
    x = 2,153.65

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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.