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Finding the Fourth Proportional to 4,224.63, 5,828.13 and 2,545.05

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Solution

The fourth proportional to 4,224.63, 5,828.13 and 2,545.05 is: 3,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.63 : 5,828.13 = 2,545.05 : x
  2. Step 2: Convert to fraction form
    4,224.63/5,828.13 = 2,545.05/x
  3. Step 3: Cross multiply
    4,224.63x = 5,828.13 × 2,545.05
  4. Step 4: Simplify right side
    4,224.63x = 14,832,882.26
  5. Step 5: Solve for x
    x = 14,832,882.26/4,224.63
  6. Step 6: Final answer
    x = 3,511.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.