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Finding the Fourth Proportional to 5,837.18, 8,058.24 and 3,714.84

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Solution

The fourth proportional to 5,837.18, 8,058.24 and 3,714.84 is: 5,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.18 : 8,058.24 = 3,714.84 : x
  2. Step 2: Convert to fraction form
    5,837.18/8,058.24 = 3,714.84/x
  3. Step 3: Cross multiply
    5,837.18x = 8,058.24 × 3,714.84
  4. Step 4: Simplify right side
    5,837.18x = 29,935,072.28
  5. Step 5: Solve for x
    x = 29,935,072.28/5,837.18
  6. Step 6: Final answer
    x = 5,128.35

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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.