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Finding the Fourth Proportional to 3,588.94, 4,953.18 and 2,017

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Solution

The fourth proportional to 3,588.94, 4,953.18 and 2,017 is: 2,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.94 : 4,953.18 = 2,017 : x
  2. Step 2: Convert to fraction form
    3,588.94/4,953.18 = 2,017/x
  3. Step 3: Cross multiply
    3,588.94x = 4,953.18 × 2,017
  4. Step 4: Simplify right side
    3,588.94x = 9,990,564.06
  5. Step 5: Solve for x
    x = 9,990,564.06/3,588.94
  6. Step 6: Final answer
    x = 2,783.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.