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Finding the Fourth Proportional to 5,805.42, 8,013.43 and 3,415.31

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Solution

The fourth proportional to 5,805.42, 8,013.43 and 3,415.31 is: 4,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.42 : 8,013.43 = 3,415.31 : x
  2. Step 2: Convert to fraction form
    5,805.42/8,013.43 = 3,415.31/x
  3. Step 3: Cross multiply
    5,805.42x = 8,013.43 × 3,415.31
  4. Step 4: Simplify right side
    5,805.42x = 27,368,386.94
  5. Step 5: Solve for x
    x = 27,368,386.94/5,805.42
  6. Step 6: Final answer
    x = 4,714.28

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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.