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Finding the Fourth Proportional to 3,647.53, 5,472.21 and 1,050.47

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Solution

The fourth proportional to 3,647.53, 5,472.21 and 1,050.47 is: 1,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.53 : 5,472.21 = 1,050.47 : x
  2. Step 2: Convert to fraction form
    3,647.53/5,472.21 = 1,050.47/x
  3. Step 3: Cross multiply
    3,647.53x = 5,472.21 × 1,050.47
  4. Step 4: Simplify right side
    3,647.53x = 5,748,383.63
  5. Step 5: Solve for x
    x = 5,748,383.63/3,647.53
  6. Step 6: Final answer
    x = 1,575.97

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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.