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Finding the Fourth Proportional to 5,858.74, 8,085.16 and 3,206.40

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Solution

The fourth proportional to 5,858.74, 8,085.16 and 3,206.40 is: 4,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.74 : 8,085.16 = 3,206.40 : x
  2. Step 2: Convert to fraction form
    5,858.74/8,085.16 = 3,206.40/x
  3. Step 3: Cross multiply
    5,858.74x = 8,085.16 × 3,206.40
  4. Step 4: Simplify right side
    5,858.74x = 25,924,257.02
  5. Step 5: Solve for x
    x = 25,924,257.02/5,858.74
  6. Step 6: Final answer
    x = 4,424.89

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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.