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Finding the Fourth Proportional to 4,842.39, 7,264.50 and 1,722.06

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Solution

The fourth proportional to 4,842.39, 7,264.50 and 1,722.06 is: 2,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.39 : 7,264.50 = 1,722.06 : x
  2. Step 2: Convert to fraction form
    4,842.39/7,264.50 = 1,722.06/x
  3. Step 3: Cross multiply
    4,842.39x = 7,264.50 × 1,722.06
  4. Step 4: Simplify right side
    4,842.39x = 12,509,904.87
  5. Step 5: Solve for x
    x = 12,509,904.87/4,842.39
  6. Step 6: Final answer
    x = 2,583.42

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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.