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Finding the Fourth Proportional to 4,573.64, 6,859.32 and 1,761.91

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Solution

The fourth proportional to 4,573.64, 6,859.32 and 1,761.91 is: 2,642.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.64 : 6,859.32 = 1,761.91 : x
  2. Step 2: Convert to fraction form
    4,573.64/6,859.32 = 1,761.91/x
  3. Step 3: Cross multiply
    4,573.64x = 6,859.32 × 1,761.91
  4. Step 4: Simplify right side
    4,573.64x = 12,085,504.50
  5. Step 5: Solve for x
    x = 12,085,504.50/4,573.64
  6. Step 6: Final answer
    x = 2,642.43

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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.