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Finding the Fourth Proportional to 4,534.81, 6,794.93 and 3,805.81

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Solution

The fourth proportional to 4,534.81, 6,794.93 and 3,805.81 is: 5,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.81 : 6,794.93 = 3,805.81 : x
  2. Step 2: Convert to fraction form
    4,534.81/6,794.93 = 3,805.81/x
  3. Step 3: Cross multiply
    4,534.81x = 6,794.93 × 3,805.81
  4. Step 4: Simplify right side
    4,534.81x = 25,860,176.53
  5. Step 5: Solve for x
    x = 25,860,176.53/4,534.81
  6. Step 6: Final answer
    x = 5,702.60

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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.