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Finding the Fourth Proportional to 5,258.42, 7,256.60 and 3,020.44

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Solution

The fourth proportional to 5,258.42, 7,256.60 and 3,020.44 is: 4,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.42 : 7,256.60 = 3,020.44 : x
  2. Step 2: Convert to fraction form
    5,258.42/7,256.60 = 3,020.44/x
  3. Step 3: Cross multiply
    5,258.42x = 7,256.60 × 3,020.44
  4. Step 4: Simplify right side
    5,258.42x = 21,918,089.38
  5. Step 5: Solve for x
    x = 21,918,089.38/5,258.42
  6. Step 6: Final answer
    x = 4,168.19

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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.