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Finding the Fourth Proportional to 5,698.25, 7,862.64 and 3,806.80

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Solution

The fourth proportional to 5,698.25, 7,862.64 and 3,806.80 is: 5,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.25 : 7,862.64 = 3,806.80 : x
  2. Step 2: Convert to fraction form
    5,698.25/7,862.64 = 3,806.80/x
  3. Step 3: Cross multiply
    5,698.25x = 7,862.64 × 3,806.80
  4. Step 4: Simplify right side
    5,698.25x = 29,931,464.02
  5. Step 5: Solve for x
    x = 29,931,464.02/5,698.25
  6. Step 6: Final answer
    x = 5,252.75

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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.