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Finding the Fourth Proportional to 3,876.51, 5,816.57 and 1,411.59

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Solution

The fourth proportional to 3,876.51, 5,816.57 and 1,411.59 is: 2,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.51 : 5,816.57 = 1,411.59 : x
  2. Step 2: Convert to fraction form
    3,876.51/5,816.57 = 1,411.59/x
  3. Step 3: Cross multiply
    3,876.51x = 5,816.57 × 1,411.59
  4. Step 4: Simplify right side
    3,876.51x = 8,210,604.99
  5. Step 5: Solve for x
    x = 8,210,604.99/3,876.51
  6. Step 6: Final answer
    x = 2,118.04

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1.5x scale

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.