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Finding the Fourth Proportional to 4,552.57, 6,823.38 and 1,919.06

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Solution

The fourth proportional to 4,552.57, 6,823.38 and 1,919.06 is: 2,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.57 : 6,823.38 = 1,919.06 : x
  2. Step 2: Convert to fraction form
    4,552.57/6,823.38 = 1,919.06/x
  3. Step 3: Cross multiply
    4,552.57x = 6,823.38 × 1,919.06
  4. Step 4: Simplify right side
    4,552.57x = 13,094,474.29
  5. Step 5: Solve for x
    x = 13,094,474.29/4,552.57
  6. Step 6: Final answer
    x = 2,876.28

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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.