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Finding the Fourth Proportional to 4,743.70, 6,650.90 and 4,743.70

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Solution

The fourth proportional to 4,743.70, 6,650.90 and 4,743.70 is: 6,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.70 : 6,650.90 = 4,743.70 : x
  2. Step 2: Convert to fraction form
    4,743.70/6,650.90 = 4,743.70/x
  3. Step 3: Cross multiply
    4,743.70x = 6,650.90 × 4,743.70
  4. Step 4: Simplify right side
    4,743.70x = 31,549,874.33
  5. Step 5: Solve for x
    x = 31,549,874.33/4,743.70
  6. Step 6: Final answer
    x = 6,650.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.