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Finding the Fourth Proportional to 5,708.85, 7,878.78 and 3,350.94

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Solution

The fourth proportional to 5,708.85, 7,878.78 and 3,350.94 is: 4,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.85 : 7,878.78 = 3,350.94 : x
  2. Step 2: Convert to fraction form
    5,708.85/7,878.78 = 3,350.94/x
  3. Step 3: Cross multiply
    5,708.85x = 7,878.78 × 3,350.94
  4. Step 4: Simplify right side
    5,708.85x = 26,401,319.05
  5. Step 5: Solve for x
    x = 26,401,319.05/5,708.85
  6. Step 6: Final answer
    x = 4,624.63

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1.5x scale

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.