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Finding the Fourth Proportional to 4,295.87, 6,446.78 and 1,699.01

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Solution

The fourth proportional to 4,295.87, 6,446.78 and 1,699.01 is: 2,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.87 : 6,446.78 = 1,699.01 : x
  2. Step 2: Convert to fraction form
    4,295.87/6,446.78 = 1,699.01/x
  3. Step 3: Cross multiply
    4,295.87x = 6,446.78 × 1,699.01
  4. Step 4: Simplify right side
    4,295.87x = 10,953,135.19
  5. Step 5: Solve for x
    x = 10,953,135.19/4,295.87
  6. Step 6: Final answer
    x = 2,549.69

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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.