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Finding the Fourth Proportional to 4,615.99, 6,918.84 and 1,841.95

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Solution

The fourth proportional to 4,615.99, 6,918.84 and 1,841.95 is: 2,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.99 : 6,918.84 = 1,841.95 : x
  2. Step 2: Convert to fraction form
    4,615.99/6,918.84 = 1,841.95/x
  3. Step 3: Cross multiply
    4,615.99x = 6,918.84 × 1,841.95
  4. Step 4: Simplify right side
    4,615.99x = 12,744,157.34
  5. Step 5: Solve for x
    x = 12,744,157.34/4,615.99
  6. Step 6: Final answer
    x = 2,760.87

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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.