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Finding the Fourth Proportional to 4,927.03, 7,388.95 and 1,639.24

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Solution

The fourth proportional to 4,927.03, 7,388.95 and 1,639.24 is: 2,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.03 : 7,388.95 = 1,639.24 : x
  2. Step 2: Convert to fraction form
    4,927.03/7,388.95 = 1,639.24/x
  3. Step 3: Cross multiply
    4,927.03x = 7,388.95 × 1,639.24
  4. Step 4: Simplify right side
    4,927.03x = 12,112,239.83
  5. Step 5: Solve for x
    x = 12,112,239.83/4,927.03
  6. Step 6: Final answer
    x = 2,458.33

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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.