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Finding the Fourth Proportional to 5,662.19, 7,812.56 and 3,424.02

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Solution

The fourth proportional to 5,662.19, 7,812.56 and 3,424.02 is: 4,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.19 : 7,812.56 = 3,424.02 : x
  2. Step 2: Convert to fraction form
    5,662.19/7,812.56 = 3,424.02/x
  3. Step 3: Cross multiply
    5,662.19x = 7,812.56 × 3,424.02
  4. Step 4: Simplify right side
    5,662.19x = 26,750,342.16
  5. Step 5: Solve for x
    x = 26,750,342.16/5,662.19
  6. Step 6: Final answer
    x = 4,724.38

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Why These Related Problems?

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