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Finding the Fourth Proportional to 5,444.34, 7,512.54 and 3,086.40

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Solution

The fourth proportional to 5,444.34, 7,512.54 and 3,086.40 is: 4,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.34 : 7,512.54 = 3,086.40 : x
  2. Step 2: Convert to fraction form
    5,444.34/7,512.54 = 3,086.40/x
  3. Step 3: Cross multiply
    5,444.34x = 7,512.54 × 3,086.40
  4. Step 4: Simplify right side
    5,444.34x = 23,186,703.46
  5. Step 5: Solve for x
    x = 23,186,703.46/5,444.34
  6. Step 6: Final answer
    x = 4,258.86

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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.