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Finding the Fourth Proportional to 5,427.94, 8,143.02 and 2,307.94

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Solution

The fourth proportional to 5,427.94, 8,143.02 and 2,307.94 is: 3,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.94 : 8,143.02 = 2,307.94 : x
  2. Step 2: Convert to fraction form
    5,427.94/8,143.02 = 2,307.94/x
  3. Step 3: Cross multiply
    5,427.94x = 8,143.02 × 2,307.94
  4. Step 4: Simplify right side
    5,427.94x = 18,793,601.58
  5. Step 5: Solve for x
    x = 18,793,601.58/5,427.94
  6. Step 6: Final answer
    x = 3,462.38

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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.