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Finding the Fourth Proportional to 4,186.41, 6,275.15 and 1,990.50

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Solution

The fourth proportional to 4,186.41, 6,275.15 and 1,990.50 is: 2,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.41 : 6,275.15 = 1,990.50 : x
  2. Step 2: Convert to fraction form
    4,186.41/6,275.15 = 1,990.50/x
  3. Step 3: Cross multiply
    4,186.41x = 6,275.15 × 1,990.50
  4. Step 4: Simplify right side
    4,186.41x = 12,490,686.08
  5. Step 5: Solve for x
    x = 12,490,686.08/4,186.41
  6. Step 6: Final answer
    x = 2,983.63

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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.