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Finding the Fourth Proportional to 5,894.38, 8,130.86 and 3,535.15

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Solution

The fourth proportional to 5,894.38, 8,130.86 and 3,535.15 is: 4,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.38 : 8,130.86 = 3,535.15 : x
  2. Step 2: Convert to fraction form
    5,894.38/8,130.86 = 3,535.15/x
  3. Step 3: Cross multiply
    5,894.38x = 8,130.86 × 3,535.15
  4. Step 4: Simplify right side
    5,894.38x = 28,743,792.05
  5. Step 5: Solve for x
    x = 28,743,792.05/5,894.38
  6. Step 6: Final answer
    x = 4,876.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.