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Finding the Fourth Proportional to 3,805.53, 5,708.66 and 1,466.34

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Solution

The fourth proportional to 3,805.53, 5,708.66 and 1,466.34 is: 2,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.53 : 5,708.66 = 1,466.34 : x
  2. Step 2: Convert to fraction form
    3,805.53/5,708.66 = 1,466.34/x
  3. Step 3: Cross multiply
    3,805.53x = 5,708.66 × 1,466.34
  4. Step 4: Simplify right side
    3,805.53x = 8,370,829.17
  5. Step 5: Solve for x
    x = 8,370,829.17/3,805.53
  6. Step 6: Final answer
    x = 2,199.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.