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Finding the Fourth Proportional to 5,442.74, 7,512.10 and 3,085.34

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Solution

The fourth proportional to 5,442.74, 7,512.10 and 3,085.34 is: 4,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.74 : 7,512.10 = 3,085.34 : x
  2. Step 2: Convert to fraction form
    5,442.74/7,512.10 = 3,085.34/x
  3. Step 3: Cross multiply
    5,442.74x = 7,512.10 × 3,085.34
  4. Step 4: Simplify right side
    5,442.74x = 23,177,337.34
  5. Step 5: Solve for x
    x = 23,177,337.34/5,442.74
  6. Step 6: Final answer
    x = 4,258.40

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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.