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Finding the Fourth Proportional to 3,210.76, 4,812.30 and 1,157.64

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Solution

The fourth proportional to 3,210.76, 4,812.30 and 1,157.64 is: 1,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.76 : 4,812.30 = 1,157.64 : x
  2. Step 2: Convert to fraction form
    3,210.76/4,812.30 = 1,157.64/x
  3. Step 3: Cross multiply
    3,210.76x = 4,812.30 × 1,157.64
  4. Step 4: Simplify right side
    3,210.76x = 5,570,910.97
  5. Step 5: Solve for x
    x = 5,570,910.97/3,210.76
  6. Step 6: Final answer
    x = 1,735.08

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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.