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Finding the Fourth Proportional to 5,806.36, 8,012.93 and 3,416.50

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Solution

The fourth proportional to 5,806.36, 8,012.93 and 3,416.50 is: 4,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.36 : 8,012.93 = 3,416.50 : x
  2. Step 2: Convert to fraction form
    5,806.36/8,012.93 = 3,416.50/x
  3. Step 3: Cross multiply
    5,806.36x = 8,012.93 × 3,416.50
  4. Step 4: Simplify right side
    5,806.36x = 27,376,175.35
  5. Step 5: Solve for x
    x = 27,376,175.35/5,806.36
  6. Step 6: Final answer
    x = 4,714.86

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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.