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Finding the Fourth Proportional to 3,564.70, 5,348.03 and 1,485.68

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Solution

The fourth proportional to 3,564.70, 5,348.03 and 1,485.68 is: 2,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.70 : 5,348.03 = 1,485.68 : x
  2. Step 2: Convert to fraction form
    3,564.70/5,348.03 = 1,485.68/x
  3. Step 3: Cross multiply
    3,564.70x = 5,348.03 × 1,485.68
  4. Step 4: Simplify right side
    3,564.70x = 7,945,427.04
  5. Step 5: Solve for x
    x = 7,945,427.04/3,564.70
  6. Step 6: Final answer
    x = 2,228.92

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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.