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Finding the Fourth Proportional to 5,708.00, 7,877.45 and 3,469.46

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Solution

The fourth proportional to 5,708.00, 7,877.45 and 3,469.46 is: 4,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.00 : 7,877.45 = 3,469.46 : x
  2. Step 2: Convert to fraction form
    5,708.00/7,877.45 = 3,469.46/x
  3. Step 3: Cross multiply
    5,708.00x = 7,877.45 × 3,469.46
  4. Step 4: Simplify right side
    5,708.00x = 27,330,466.96
  5. Step 5: Solve for x
    x = 27,330,466.96/5,708.00
  6. Step 6: Final answer
    x = 4,788.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.