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Finding the Fourth Proportional to 4,574.70, 6,863.76 and 1,943.01

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Solution

The fourth proportional to 4,574.70, 6,863.76 and 1,943.01 is: 2,915.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.70 : 6,863.76 = 1,943.01 : x
  2. Step 2: Convert to fraction form
    4,574.70/6,863.76 = 1,943.01/x
  3. Step 3: Cross multiply
    4,574.70x = 6,863.76 × 1,943.01
  4. Step 4: Simplify right side
    4,574.70x = 13,336,379.09
  5. Step 5: Solve for x
    x = 13,336,379.09/4,574.70
  6. Step 6: Final answer
    x = 2,915.24

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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.