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Finding the Fourth Proportional to 4,366.65, 6,550.74 and 1,597.22

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Solution

The fourth proportional to 4,366.65, 6,550.74 and 1,597.22 is: 2,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366.65 : 6,550.74 = 1,597.22 : x
  2. Step 2: Convert to fraction form
    4,366.65/6,550.74 = 1,597.22/x
  3. Step 3: Cross multiply
    4,366.65x = 6,550.74 × 1,597.22
  4. Step 4: Simplify right side
    4,366.65x = 10,462,940.19
  5. Step 5: Solve for x
    x = 10,462,940.19/4,366.65
  6. Step 6: Final answer
    x = 2,396.10

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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.