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Finding the Fourth Proportional to 3,698.57, 5,515.77 and 3,154.25

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Solution

The fourth proportional to 3,698.57, 5,515.77 and 3,154.25 is: 4,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.57 : 5,515.77 = 3,154.25 : x
  2. Step 2: Convert to fraction form
    3,698.57/5,515.77 = 3,154.25/x
  3. Step 3: Cross multiply
    3,698.57x = 5,515.77 × 3,154.25
  4. Step 4: Simplify right side
    3,698.57x = 17,398,117.52
  5. Step 5: Solve for x
    x = 17,398,117.52/3,698.57
  6. Step 6: Final answer
    x = 4,704.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.