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Finding the Fourth Proportional to 4,661.36, 6,992.04 and 1,583.36

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Solution

The fourth proportional to 4,661.36, 6,992.04 and 1,583.36 is: 2,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.36 : 6,992.04 = 1,583.36 : x
  2. Step 2: Convert to fraction form
    4,661.36/6,992.04 = 1,583.36/x
  3. Step 3: Cross multiply
    4,661.36x = 6,992.04 × 1,583.36
  4. Step 4: Simplify right side
    4,661.36x = 11,070,916.45
  5. Step 5: Solve for x
    x = 11,070,916.45/4,661.36
  6. Step 6: Final answer
    x = 2,375.04

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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.