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Finding the Fourth Proportional to 3,156.36, 4,734.57 and 965.10

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Solution

The fourth proportional to 3,156.36, 4,734.57 and 965.10 is: 1,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.36 : 4,734.57 = 965.10 : x
  2. Step 2: Convert to fraction form
    3,156.36/4,734.57 = 965.10/x
  3. Step 3: Cross multiply
    3,156.36x = 4,734.57 × 965.10
  4. Step 4: Simplify right side
    3,156.36x = 4,569,333.51
  5. Step 5: Solve for x
    x = 4,569,333.51/3,156.36
  6. Step 6: Final answer
    x = 1,447.66

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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.