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Finding the Fourth Proportional to 4,573.70, 6,863.32 and 1,976.66

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Solution

The fourth proportional to 4,573.70, 6,863.32 and 1,976.66 is: 2,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.70 : 6,863.32 = 1,976.66 : x
  2. Step 2: Convert to fraction form
    4,573.70/6,863.32 = 1,976.66/x
  3. Step 3: Cross multiply
    4,573.70x = 6,863.32 × 1,976.66
  4. Step 4: Simplify right side
    4,573.70x = 13,566,450.11
  5. Step 5: Solve for x
    x = 13,566,450.11/4,573.70
  6. Step 6: Final answer
    x = 2,966.19

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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.