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Finding the Fourth Proportional to 5,866.34, 8,095.56 and 3,213.74

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Solution

The fourth proportional to 5,866.34, 8,095.56 and 3,213.74 is: 4,434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.34 : 8,095.56 = 3,213.74 : x
  2. Step 2: Convert to fraction form
    5,866.34/8,095.56 = 3,213.74/x
  3. Step 3: Cross multiply
    5,866.34x = 8,095.56 × 3,213.74
  4. Step 4: Simplify right side
    5,866.34x = 26,017,051.26
  5. Step 5: Solve for x
    x = 26,017,051.26/5,866.34
  6. Step 6: Final answer
    x = 4,434.97

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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.