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Finding the Fourth Proportional to 5,743.42, 7,926.32 and 3,858.15

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Solution

The fourth proportional to 5,743.42, 7,926.32 and 3,858.15 is: 5,324.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.42 : 7,926.32 = 3,858.15 : x
  2. Step 2: Convert to fraction form
    5,743.42/7,926.32 = 3,858.15/x
  3. Step 3: Cross multiply
    5,743.42x = 7,926.32 × 3,858.15
  4. Step 4: Simplify right side
    5,743.42x = 30,580,931.51
  5. Step 5: Solve for x
    x = 30,580,931.51/5,743.42
  6. Step 6: Final answer
    x = 5,324.52

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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.