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Finding the Fourth Proportional to 4,903.50, 7,357.06 and 2,272.26

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Solution

The fourth proportional to 4,903.50, 7,357.06 and 2,272.26 is: 3,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.50 : 7,357.06 = 2,272.26 : x
  2. Step 2: Convert to fraction form
    4,903.50/7,357.06 = 2,272.26/x
  3. Step 3: Cross multiply
    4,903.50x = 7,357.06 × 2,272.26
  4. Step 4: Simplify right side
    4,903.50x = 16,717,153.16
  5. Step 5: Solve for x
    x = 16,717,153.16/4,903.50
  6. Step 6: Final answer
    x = 3,409.23

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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.