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Finding the Fourth Proportional to 3,485.62, 4,812.78 and 3,059.16

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Solution

The fourth proportional to 3,485.62, 4,812.78 and 3,059.16 is: 4,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.62 : 4,812.78 = 3,059.16 : x
  2. Step 2: Convert to fraction form
    3,485.62/4,812.78 = 3,059.16/x
  3. Step 3: Cross multiply
    3,485.62x = 4,812.78 × 3,059.16
  4. Step 4: Simplify right side
    3,485.62x = 14,723,064.06
  5. Step 5: Solve for x
    x = 14,723,064.06/3,485.62
  6. Step 6: Final answer
    x = 4,223.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.