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Finding the Fourth Proportional to 5,846.98, 8,750.30 and 5,367.46

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Solution

The fourth proportional to 5,846.98, 8,750.30 and 5,367.46 is: 8,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.98 : 8,750.30 = 5,367.46 : x
  2. Step 2: Convert to fraction form
    5,846.98/8,750.30 = 5,367.46/x
  3. Step 3: Cross multiply
    5,846.98x = 8,750.30 × 5,367.46
  4. Step 4: Simplify right side
    5,846.98x = 46,966,885.24
  5. Step 5: Solve for x
    x = 46,966,885.24/5,846.98
  6. Step 6: Final answer
    x = 8,032.67

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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.