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Finding the Fourth Proportional to 5,460.12, 8,141.08 and 5,361.68

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Solution

The fourth proportional to 5,460.12, 8,141.08 and 5,361.68 is: 7,994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.12 : 8,141.08 = 5,361.68 : x
  2. Step 2: Convert to fraction form
    5,460.12/8,141.08 = 5,361.68/x
  3. Step 3: Cross multiply
    5,460.12x = 8,141.08 × 5,361.68
  4. Step 4: Simplify right side
    5,460.12x = 43,649,865.81
  5. Step 5: Solve for x
    x = 43,649,865.81/5,460.12
  6. Step 6: Final answer
    x = 7,994.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.