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Finding the Fourth Proportional to 5,905.05, 8,111.31 and 5,875.89

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Solution

The fourth proportional to 5,905.05, 8,111.31 and 5,875.89 is: 8,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.05 : 8,111.31 = 5,875.89 : x
  2. Step 2: Convert to fraction form
    5,905.05/8,111.31 = 5,875.89/x
  3. Step 3: Cross multiply
    5,905.05x = 8,111.31 × 5,875.89
  4. Step 4: Simplify right side
    5,905.05x = 47,661,165.32
  5. Step 5: Solve for x
    x = 47,661,165.32/5,905.05
  6. Step 6: Final answer
    x = 8,071.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.