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Finding the Fourth Proportional to 4,669.02, 7,004.46 and 1,549.26

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Solution

The fourth proportional to 4,669.02, 7,004.46 and 1,549.26 is: 2,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.02 : 7,004.46 = 1,549.26 : x
  2. Step 2: Convert to fraction form
    4,669.02/7,004.46 = 1,549.26/x
  3. Step 3: Cross multiply
    4,669.02x = 7,004.46 × 1,549.26
  4. Step 4: Simplify right side
    4,669.02x = 10,851,729.70
  5. Step 5: Solve for x
    x = 10,851,729.70/4,669.02
  6. Step 6: Final answer
    x = 2,324.20

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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.