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Finding the Fourth Proportional to 4,455.93, 6,646.20 and 4,198.95

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Solution

The fourth proportional to 4,455.93, 6,646.20 and 4,198.95 is: 6,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,455.93 : 6,646.20 = 4,198.95 : x
  2. Step 2: Convert to fraction form
    4,455.93/6,646.20 = 4,198.95/x
  3. Step 3: Cross multiply
    4,455.93x = 6,646.20 × 4,198.95
  4. Step 4: Simplify right side
    4,455.93x = 27,907,102.16
  5. Step 5: Solve for x
    x = 27,907,102.16/4,455.93
  6. Step 6: Final answer
    x = 6,262.92

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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.