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Finding the Fourth Proportional to 4,722.65, 7,085.37 and 1,949.48

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Solution

The fourth proportional to 4,722.65, 7,085.37 and 1,949.48 is: 2,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.65 : 7,085.37 = 1,949.48 : x
  2. Step 2: Convert to fraction form
    4,722.65/7,085.37 = 1,949.48/x
  3. Step 3: Cross multiply
    4,722.65x = 7,085.37 × 1,949.48
  4. Step 4: Simplify right side
    4,722.65x = 13,812,825.42
  5. Step 5: Solve for x
    x = 13,812,825.42/4,722.65
  6. Step 6: Final answer
    x = 2,924.80

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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.