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Finding the Fourth Proportional to 4,293.20, 5,924.16 and 3,411.20

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Solution

The fourth proportional to 4,293.20, 5,924.16 and 3,411.20 is: 4,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.20 : 5,924.16 = 3,411.20 : x
  2. Step 2: Convert to fraction form
    4,293.20/5,924.16 = 3,411.20/x
  3. Step 3: Cross multiply
    4,293.20x = 5,924.16 × 3,411.20
  4. Step 4: Simplify right side
    4,293.20x = 20,208,494.59
  5. Step 5: Solve for x
    x = 20,208,494.59/4,293.20
  6. Step 6: Final answer
    x = 4,707.09

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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.