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Finding the Fourth Proportional to 5,866.14, 8,797.08 and 1,969.64

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Solution

The fourth proportional to 5,866.14, 8,797.08 and 1,969.64 is: 2,953.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.14 : 8,797.08 = 1,969.64 : x
  2. Step 2: Convert to fraction form
    5,866.14/8,797.08 = 1,969.64/x
  3. Step 3: Cross multiply
    5,866.14x = 8,797.08 × 1,969.64
  4. Step 4: Simplify right side
    5,866.14x = 17,327,080.65
  5. Step 5: Solve for x
    x = 17,327,080.65/5,866.14
  6. Step 6: Final answer
    x = 2,953.74

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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.