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Finding the Fourth Proportional to 4,722.49, 7,085.48 and 1,949.40

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Solution

The fourth proportional to 4,722.49, 7,085.48 and 1,949.40 is: 2,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.49 : 7,085.48 = 1,949.40 : x
  2. Step 2: Convert to fraction form
    4,722.49/7,085.48 = 1,949.40/x
  3. Step 3: Cross multiply
    4,722.49x = 7,085.48 × 1,949.40
  4. Step 4: Simplify right side
    4,722.49x = 13,812,424.97
  5. Step 5: Solve for x
    x = 13,812,424.97/4,722.49
  6. Step 6: Final answer
    x = 2,924.82

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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.