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Finding the Fourth Proportional to 4,224.86, 5,829.68 and 2,545.94

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Solution

The fourth proportional to 4,224.86, 5,829.68 and 2,545.94 is: 3,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.86 : 5,829.68 = 2,545.94 : x
  2. Step 2: Convert to fraction form
    4,224.86/5,829.68 = 2,545.94/x
  3. Step 3: Cross multiply
    4,224.86x = 5,829.68 × 2,545.94
  4. Step 4: Simplify right side
    4,224.86x = 14,842,015.50
  5. Step 5: Solve for x
    x = 14,842,015.50/4,224.86
  6. Step 6: Final answer
    x = 3,513.02

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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.