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Finding the Fourth Proportional to 6,016, 8,302.08 and 3,657.70

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Solution

The fourth proportional to 6,016, 8,302.08 and 3,657.70 is: 5,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016 : 8,302.08 = 3,657.70 : x
  2. Step 2: Convert to fraction form
    6,016/8,302.08 = 3,657.70/x
  3. Step 3: Cross multiply
    6,016x = 8,302.08 × 3,657.70
  4. Step 4: Simplify right side
    6,016x = 30,366,518.02
  5. Step 5: Solve for x
    x = 30,366,518.02/6,016
  6. Step 6: Final answer
    x = 5,047.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.