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Finding the Fourth Proportional to 3,920.02, 5,875.39 and 1,724.16

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Solution

The fourth proportional to 3,920.02, 5,875.39 and 1,724.16 is: 2,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.02 : 5,875.39 = 1,724.16 : x
  2. Step 2: Convert to fraction form
    3,920.02/5,875.39 = 1,724.16/x
  3. Step 3: Cross multiply
    3,920.02x = 5,875.39 × 1,724.16
  4. Step 4: Simplify right side
    3,920.02x = 10,130,112.42
  5. Step 5: Solve for x
    x = 10,130,112.42/3,920.02
  6. Step 6: Final answer
    x = 2,584.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.