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Finding the Fourth Proportional to 5,143.59, 7,713.78 and 1,856.25

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Solution

The fourth proportional to 5,143.59, 7,713.78 and 1,856.25 is: 2,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.59 : 7,713.78 = 1,856.25 : x
  2. Step 2: Convert to fraction form
    5,143.59/7,713.78 = 1,856.25/x
  3. Step 3: Cross multiply
    5,143.59x = 7,713.78 × 1,856.25
  4. Step 4: Simplify right side
    5,143.59x = 14,318,704.13
  5. Step 5: Solve for x
    x = 14,318,704.13/5,143.59
  6. Step 6: Final answer
    x = 2,783.80

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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.