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Finding the Fourth Proportional to 5,946.69, 8,918.69 and 2,657.64

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Solution

The fourth proportional to 5,946.69, 8,918.69 and 2,657.64 is: 3,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.69 : 8,918.69 = 2,657.64 : x
  2. Step 2: Convert to fraction form
    5,946.69/8,918.69 = 2,657.64/x
  3. Step 3: Cross multiply
    5,946.69x = 8,918.69 × 2,657.64
  4. Step 4: Simplify right side
    5,946.69x = 23,702,654.00
  5. Step 5: Solve for x
    x = 23,702,654.00/5,946.69
  6. Step 6: Final answer
    x = 3,985.86

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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.