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Finding the Fourth Proportional to 5,764.66, 8,646.70 and 1,604.64

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Solution

The fourth proportional to 5,764.66, 8,646.70 and 1,604.64 is: 2,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.66 : 8,646.70 = 1,604.64 : x
  2. Step 2: Convert to fraction form
    5,764.66/8,646.70 = 1,604.64/x
  3. Step 3: Cross multiply
    5,764.66x = 8,646.70 × 1,604.64
  4. Step 4: Simplify right side
    5,764.66x = 13,874,840.69
  5. Step 5: Solve for x
    x = 13,874,840.69/5,764.66
  6. Step 6: Final answer
    x = 2,406.88

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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.