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Finding the Fourth Proportional to 5,210.57, 7,812.18 and 1,923.23

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Solution

The fourth proportional to 5,210.57, 7,812.18 and 1,923.23 is: 2,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.57 : 7,812.18 = 1,923.23 : x
  2. Step 2: Convert to fraction form
    5,210.57/7,812.18 = 1,923.23/x
  3. Step 3: Cross multiply
    5,210.57x = 7,812.18 × 1,923.23
  4. Step 4: Simplify right side
    5,210.57x = 15,024,579.88
  5. Step 5: Solve for x
    x = 15,024,579.88/5,210.57
  6. Step 6: Final answer
    x = 2,883.48

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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.