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Finding the Fourth Proportional to 4,108.10, 5,764.30 and 4,108.10

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Solution

The fourth proportional to 4,108.10, 5,764.30 and 4,108.10 is: 5,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.10 : 5,764.30 = 4,108.10 : x
  2. Step 2: Convert to fraction form
    4,108.10/5,764.30 = 4,108.10/x
  3. Step 3: Cross multiply
    4,108.10x = 5,764.30 × 4,108.10
  4. Step 4: Simplify right side
    4,108.10x = 23,680,320.83
  5. Step 5: Solve for x
    x = 23,680,320.83/4,108.10
  6. Step 6: Final answer
    x = 5,764.30

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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.