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Finding the Fourth Proportional to 5,881.68, 8,829 and 4,968.54

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Solution

The fourth proportional to 5,881.68, 8,829 and 4,968.54 is: 7,458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.68 : 8,829 = 4,968.54 : x
  2. Step 2: Convert to fraction form
    5,881.68/8,829 = 4,968.54/x
  3. Step 3: Cross multiply
    5,881.68x = 8,829 × 4,968.54
  4. Step 4: Simplify right side
    5,881.68x = 43,867,239.66
  5. Step 5: Solve for x
    x = 43,867,239.66/5,881.68
  6. Step 6: Final answer
    x = 7,458.28

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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.