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Finding the Fourth Proportional to 5,224.86, 7,210.49 and 3,101.49

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Solution

The fourth proportional to 5,224.86, 7,210.49 and 3,101.49 is: 4,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.86 : 7,210.49 = 3,101.49 : x
  2. Step 2: Convert to fraction form
    5,224.86/7,210.49 = 3,101.49/x
  3. Step 3: Cross multiply
    5,224.86x = 7,210.49 × 3,101.49
  4. Step 4: Simplify right side
    5,224.86x = 22,363,247.12
  5. Step 5: Solve for x
    x = 22,363,247.12/5,224.86
  6. Step 6: Final answer
    x = 4,280.16

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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.