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Finding the Fourth Proportional to 5,876.36, 8,103.86 and 4,685.30

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Solution

The fourth proportional to 5,876.36, 8,103.86 and 4,685.30 is: 6,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.36 : 8,103.86 = 4,685.30 : x
  2. Step 2: Convert to fraction form
    5,876.36/8,103.86 = 4,685.30/x
  3. Step 3: Cross multiply
    5,876.36x = 8,103.86 × 4,685.30
  4. Step 4: Simplify right side
    5,876.36x = 37,968,951.31
  5. Step 5: Solve for x
    x = 37,968,951.31/5,876.36
  6. Step 6: Final answer
    x = 6,461.31

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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.