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Finding the Fourth Proportional to 4,771.64, 7,128.34 and 3,798.83

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Solution

The fourth proportional to 4,771.64, 7,128.34 and 3,798.83 is: 5,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.64 : 7,128.34 = 3,798.83 : x
  2. Step 2: Convert to fraction form
    4,771.64/7,128.34 = 3,798.83/x
  3. Step 3: Cross multiply
    4,771.64x = 7,128.34 × 3,798.83
  4. Step 4: Simplify right side
    4,771.64x = 27,079,360.17
  5. Step 5: Solve for x
    x = 27,079,360.17/4,771.64
  6. Step 6: Final answer
    x = 5,675.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.