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Finding the Fourth Proportional to 3,172.02, 4,377.02 and 1,845.98

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Solution

The fourth proportional to 3,172.02, 4,377.02 and 1,845.98 is: 2,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.02 : 4,377.02 = 1,845.98 : x
  2. Step 2: Convert to fraction form
    3,172.02/4,377.02 = 1,845.98/x
  3. Step 3: Cross multiply
    3,172.02x = 4,377.02 × 1,845.98
  4. Step 4: Simplify right side
    3,172.02x = 8,079,891.38
  5. Step 5: Solve for x
    x = 8,079,891.38/3,172.02
  6. Step 6: Final answer
    x = 2,547.24

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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.