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Finding the Fourth Proportional to 3,620.76, 5,431.16 and 1,312.20

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Solution

The fourth proportional to 3,620.76, 5,431.16 and 1,312.20 is: 1,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.76 : 5,431.16 = 1,312.20 : x
  2. Step 2: Convert to fraction form
    3,620.76/5,431.16 = 1,312.20/x
  3. Step 3: Cross multiply
    3,620.76x = 5,431.16 × 1,312.20
  4. Step 4: Simplify right side
    3,620.76x = 7,126,768.15
  5. Step 5: Solve for x
    x = 7,126,768.15/3,620.76
  6. Step 6: Final answer
    x = 1,968.31

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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.