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Finding the Fourth Proportional to 5,486.57, 8,210.42 and 4,838.57

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Solution

The fourth proportional to 5,486.57, 8,210.42 and 4,838.57 is: 7,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.57 : 8,210.42 = 4,838.57 : x
  2. Step 2: Convert to fraction form
    5,486.57/8,210.42 = 4,838.57/x
  3. Step 3: Cross multiply
    5,486.57x = 8,210.42 × 4,838.57
  4. Step 4: Simplify right side
    5,486.57x = 39,726,667.71
  5. Step 5: Solve for x
    x = 39,726,667.71/5,486.57
  6. Step 6: Final answer
    x = 7,240.71

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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.