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Finding the Fourth Proportional to 5,047.60, 7,573.50 and 2,272.36

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Solution

The fourth proportional to 5,047.60, 7,573.50 and 2,272.36 is: 3,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.60 : 7,573.50 = 2,272.36 : x
  2. Step 2: Convert to fraction form
    5,047.60/7,573.50 = 2,272.36/x
  3. Step 3: Cross multiply
    5,047.60x = 7,573.50 × 2,272.36
  4. Step 4: Simplify right side
    5,047.60x = 17,209,718.46
  5. Step 5: Solve for x
    x = 17,209,718.46/5,047.60
  6. Step 6: Final answer
    x = 3,409.49

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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.