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Finding the Fourth Proportional to 4,399, 6,590.26 and 2,205.16

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Solution

The fourth proportional to 4,399, 6,590.26 and 2,205.16 is: 3,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,399 : 6,590.26 = 2,205.16 : x
  2. Step 2: Convert to fraction form
    4,399/6,590.26 = 2,205.16/x
  3. Step 3: Cross multiply
    4,399x = 6,590.26 × 2,205.16
  4. Step 4: Simplify right side
    4,399x = 14,532,577.74
  5. Step 5: Solve for x
    x = 14,532,577.74/4,399
  6. Step 6: Final answer
    x = 3,303.61

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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.