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Finding the Fourth Proportional to 5,113, 7,664.64 and 4,014.64

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Solution

The fourth proportional to 5,113, 7,664.64 and 4,014.64 is: 6,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113 : 7,664.64 = 4,014.64 : x
  2. Step 2: Convert to fraction form
    5,113/7,664.64 = 4,014.64/x
  3. Step 3: Cross multiply
    5,113x = 7,664.64 × 4,014.64
  4. Step 4: Simplify right side
    5,113x = 30,770,770.33
  5. Step 5: Solve for x
    x = 30,770,770.33/5,113
  6. Step 6: Final answer
    x = 6,018.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.