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Finding the Fourth Proportional to 5,665.64, 8,497.02 and 2,201

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Solution

The fourth proportional to 5,665.64, 8,497.02 and 2,201 is: 3,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.64 : 8,497.02 = 2,201 : x
  2. Step 2: Convert to fraction form
    5,665.64/8,497.02 = 2,201/x
  3. Step 3: Cross multiply
    5,665.64x = 8,497.02 × 2,201
  4. Step 4: Simplify right side
    5,665.64x = 18,701,941.02
  5. Step 5: Solve for x
    x = 18,701,941.02/5,665.64
  6. Step 6: Final answer
    x = 3,300.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.