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Finding the Fourth Proportional to 5,738.55, 8,607.83 and 1,842.45

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Solution

The fourth proportional to 5,738.55, 8,607.83 and 1,842.45 is: 2,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.55 : 8,607.83 = 1,842.45 : x
  2. Step 2: Convert to fraction form
    5,738.55/8,607.83 = 1,842.45/x
  3. Step 3: Cross multiply
    5,738.55x = 8,607.83 × 1,842.45
  4. Step 4: Simplify right side
    5,738.55x = 15,859,487.17
  5. Step 5: Solve for x
    x = 15,859,487.17/5,738.55
  6. Step 6: Final answer
    x = 2,763.68

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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.