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Finding the Fourth Proportional to 6,574.64, 9,072.65 and 3,589.89

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Solution

The fourth proportional to 6,574.64, 9,072.65 and 3,589.89 is: 4,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.64 : 9,072.65 = 3,589.89 : x
  2. Step 2: Convert to fraction form
    6,574.64/9,072.65 = 3,589.89/x
  3. Step 3: Cross multiply
    6,574.64x = 9,072.65 × 3,589.89
  4. Step 4: Simplify right side
    6,574.64x = 32,569,824.48
  5. Step 5: Solve for x
    x = 32,569,824.48/6,574.64
  6. Step 6: Final answer
    x = 4,953.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.