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Finding the Fourth Proportional to 3,485.77, 5,230.44 and 2,316.57

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Solution

The fourth proportional to 3,485.77, 5,230.44 and 2,316.57 is: 3,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.77 : 5,230.44 = 2,316.57 : x
  2. Step 2: Convert to fraction form
    3,485.77/5,230.44 = 2,316.57/x
  3. Step 3: Cross multiply
    3,485.77x = 5,230.44 × 2,316.57
  4. Step 4: Simplify right side
    3,485.77x = 12,116,708.69
  5. Step 5: Solve for x
    x = 12,116,708.69/3,485.77
  6. Step 6: Final answer
    x = 3,476.05

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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.