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Finding the Fourth Proportional to 3,485.41, 5,229.90 and 2,316.22

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Solution

The fourth proportional to 3,485.41, 5,229.90 and 2,316.22 is: 3,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.41 : 5,229.90 = 2,316.22 : x
  2. Step 2: Convert to fraction form
    3,485.41/5,229.90 = 2,316.22/x
  3. Step 3: Cross multiply
    3,485.41x = 5,229.90 × 2,316.22
  4. Step 4: Simplify right side
    3,485.41x = 12,113,598.98
  5. Step 5: Solve for x
    x = 12,113,598.98/3,485.41
  6. Step 6: Final answer
    x = 3,475.52

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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.