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Finding the Fourth Proportional to 3,564.74, 5,348.23 and 1,373.63

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Solution

The fourth proportional to 3,564.74, 5,348.23 and 1,373.63 is: 2,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.74 : 5,348.23 = 1,373.63 : x
  2. Step 2: Convert to fraction form
    3,564.74/5,348.23 = 1,373.63/x
  3. Step 3: Cross multiply
    3,564.74x = 5,348.23 × 1,373.63
  4. Step 4: Simplify right side
    3,564.74x = 7,346,459.00
  5. Step 5: Solve for x
    x = 7,346,459.00/3,564.74
  6. Step 6: Final answer
    x = 2,060.87

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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.