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Finding the Fourth Proportional to 5,210.77, 7,188.17 and 3,531.60

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Solution

The fourth proportional to 5,210.77, 7,188.17 and 3,531.60 is: 4,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.77 : 7,188.17 = 3,531.60 : x
  2. Step 2: Convert to fraction form
    5,210.77/7,188.17 = 3,531.60/x
  3. Step 3: Cross multiply
    5,210.77x = 7,188.17 × 3,531.60
  4. Step 4: Simplify right side
    5,210.77x = 25,385,705.54
  5. Step 5: Solve for x
    x = 25,385,705.54/5,210.77
  6. Step 6: Final answer
    x = 4,871.78

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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.