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Finding the Fourth Proportional to 3,260.98, 4,496.86 and 2,900.95

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Solution

The fourth proportional to 3,260.98, 4,496.86 and 2,900.95 is: 4,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.98 : 4,496.86 = 2,900.95 : x
  2. Step 2: Convert to fraction form
    3,260.98/4,496.86 = 2,900.95/x
  3. Step 3: Cross multiply
    3,260.98x = 4,496.86 × 2,900.95
  4. Step 4: Simplify right side
    3,260.98x = 13,045,142.08
  5. Step 5: Solve for x
    x = 13,045,142.08/3,260.98
  6. Step 6: Final answer
    x = 4,000.38

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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.