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Finding the Fourth Proportional to 5,365.84, 8,049.70 and 1,856.20

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Solution

The fourth proportional to 5,365.84, 8,049.70 and 1,856.20 is: 2,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.84 : 8,049.70 = 1,856.20 : x
  2. Step 2: Convert to fraction form
    5,365.84/8,049.70 = 1,856.20/x
  3. Step 3: Cross multiply
    5,365.84x = 8,049.70 × 1,856.20
  4. Step 4: Simplify right side
    5,365.84x = 14,941,853.14
  5. Step 5: Solve for x
    x = 14,941,853.14/5,365.84
  6. Step 6: Final answer
    x = 2,784.63

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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.