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Finding the Fourth Proportional to 6,419.34, 8,848.08 and 5,861.70

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Solution

The fourth proportional to 6,419.34, 8,848.08 and 5,861.70 is: 8,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.34 : 8,848.08 = 5,861.70 : x
  2. Step 2: Convert to fraction form
    6,419.34/8,848.08 = 5,861.70/x
  3. Step 3: Cross multiply
    6,419.34x = 8,848.08 × 5,861.70
  4. Step 4: Simplify right side
    6,419.34x = 51,864,790.54
  5. Step 5: Solve for x
    x = 51,864,790.54/6,419.34
  6. Step 6: Final answer
    x = 8,079.46

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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.