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Finding the Fourth Proportional to 3,473.76, 5,210.38 and 1,008.60

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Solution

The fourth proportional to 3,473.76, 5,210.38 and 1,008.60 is: 1,512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.76 : 5,210.38 = 1,008.60 : x
  2. Step 2: Convert to fraction form
    3,473.76/5,210.38 = 1,008.60/x
  3. Step 3: Cross multiply
    3,473.76x = 5,210.38 × 1,008.60
  4. Step 4: Simplify right side
    3,473.76x = 5,255,194.62
  5. Step 5: Solve for x
    x = 5,255,194.62/3,473.76
  6. Step 6: Final answer
    x = 1,512.83

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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.