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Finding the Fourth Proportional to 5,210.40, 7,817.04 and 3,015.12

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Solution

The fourth proportional to 5,210.40, 7,817.04 and 3,015.12 is: 4,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.40 : 7,817.04 = 3,015.12 : x
  2. Step 2: Convert to fraction form
    5,210.40/7,817.04 = 3,015.12/x
  3. Step 3: Cross multiply
    5,210.40x = 7,817.04 × 3,015.12
  4. Step 4: Simplify right side
    5,210.40x = 23,569,313.64
  5. Step 5: Solve for x
    x = 23,569,313.64/5,210.40
  6. Step 6: Final answer
    x = 4,523.51

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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.