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Finding the Fourth Proportional to 4,610.75, 6,946.95 and 4,172.46

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Solution

The fourth proportional to 4,610.75, 6,946.95 and 4,172.46 is: 6,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.75 : 6,946.95 = 4,172.46 : x
  2. Step 2: Convert to fraction form
    4,610.75/6,946.95 = 4,172.46/x
  3. Step 3: Cross multiply
    4,610.75x = 6,946.95 × 4,172.46
  4. Step 4: Simplify right side
    4,610.75x = 28,985,871.00
  5. Step 5: Solve for x
    x = 28,985,871.00/4,610.75
  6. Step 6: Final answer
    x = 6,286.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.