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Finding the Fourth Proportional to 5,310.59, 7,965.86 and 1,847.84

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Solution

The fourth proportional to 5,310.59, 7,965.86 and 1,847.84 is: 2,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.59 : 7,965.86 = 1,847.84 : x
  2. Step 2: Convert to fraction form
    5,310.59/7,965.86 = 1,847.84/x
  3. Step 3: Cross multiply
    5,310.59x = 7,965.86 × 1,847.84
  4. Step 4: Simplify right side
    5,310.59x = 14,719,585.67
  5. Step 5: Solve for x
    x = 14,719,585.67/5,310.59
  6. Step 6: Final answer
    x = 2,771.74

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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.