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Finding the Fourth Proportional to 5,876.35, 8,101.86 and 4,285.30

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Solution

The fourth proportional to 5,876.35, 8,101.86 and 4,285.30 is: 5,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.35 : 8,101.86 = 4,285.30 : x
  2. Step 2: Convert to fraction form
    5,876.35/8,101.86 = 4,285.30/x
  3. Step 3: Cross multiply
    5,876.35x = 8,101.86 × 4,285.30
  4. Step 4: Simplify right side
    5,876.35x = 34,718,900.66
  5. Step 5: Solve for x
    x = 34,718,900.66/5,876.35
  6. Step 6: Final answer
    x = 5,908.24

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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.