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Finding the Fourth Proportional to 3,834.76, 5,746.70 and 2,965

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Solution

The fourth proportional to 3,834.76, 5,746.70 and 2,965 is: 4,443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.76 : 5,746.70 = 2,965 : x
  2. Step 2: Convert to fraction form
    3,834.76/5,746.70 = 2,965/x
  3. Step 3: Cross multiply
    3,834.76x = 5,746.70 × 2,965
  4. Step 4: Simplify right side
    3,834.76x = 17,038,965.50
  5. Step 5: Solve for x
    x = 17,038,965.50/3,834.76
  6. Step 6: Final answer
    x = 4,443.29

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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.