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Finding the Fourth Proportional to 4,537.96, 6,800.64 and 2,197

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Solution

The fourth proportional to 4,537.96, 6,800.64 and 2,197 is: 3,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.96 : 6,800.64 = 2,197 : x
  2. Step 2: Convert to fraction form
    4,537.96/6,800.64 = 2,197/x
  3. Step 3: Cross multiply
    4,537.96x = 6,800.64 × 2,197
  4. Step 4: Simplify right side
    4,537.96x = 14,941,006.08
  5. Step 5: Solve for x
    x = 14,941,006.08/4,537.96
  6. Step 6: Final answer
    x = 3,292.45

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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.