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Finding the Fourth Proportional to 5,820, 8,730.24 and 1,716

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Solution

The fourth proportional to 5,820, 8,730.24 and 1,716 is: 2,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820 : 8,730.24 = 1,716 : x
  2. Step 2: Convert to fraction form
    5,820/8,730.24 = 1,716/x
  3. Step 3: Cross multiply
    5,820x = 8,730.24 × 1,716
  4. Step 4: Simplify right side
    5,820x = 14,981,091.84
  5. Step 5: Solve for x
    x = 14,981,091.84/5,820
  6. Step 6: Final answer
    x = 2,574.07

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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.