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Finding the Fourth Proportional to 5,106.84, 7,660.08 and 1,644

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Solution

The fourth proportional to 5,106.84, 7,660.08 and 1,644 is: 2,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.84 : 7,660.08 = 1,644 : x
  2. Step 2: Convert to fraction form
    5,106.84/7,660.08 = 1,644/x
  3. Step 3: Cross multiply
    5,106.84x = 7,660.08 × 1,644
  4. Step 4: Simplify right side
    5,106.84x = 12,593,171.52
  5. Step 5: Solve for x
    x = 12,593,171.52/5,106.84
  6. Step 6: Final answer
    x = 2,465.94

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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.