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Finding the Fourth Proportional to 5,095, 7,645.74 and 2,017

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Solution

The fourth proportional to 5,095, 7,645.74 and 2,017 is: 3,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095 : 7,645.74 = 2,017 : x
  2. Step 2: Convert to fraction form
    5,095/7,645.74 = 2,017/x
  3. Step 3: Cross multiply
    5,095x = 7,645.74 × 2,017
  4. Step 4: Simplify right side
    5,095x = 15,421,457.58
  5. Step 5: Solve for x
    x = 15,421,457.58/5,095
  6. Step 6: Final answer
    x = 3,026.78

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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.