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Finding the Fourth Proportional to 5,848.81, 8,771.42 and 3,073.95

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Solution

The fourth proportional to 5,848.81, 8,771.42 and 3,073.95 is: 4,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.81 : 8,771.42 = 3,073.95 : x
  2. Step 2: Convert to fraction form
    5,848.81/8,771.42 = 3,073.95/x
  3. Step 3: Cross multiply
    5,848.81x = 8,771.42 × 3,073.95
  4. Step 4: Simplify right side
    5,848.81x = 26,962,914.19
  5. Step 5: Solve for x
    x = 26,962,914.19/5,848.81
  6. Step 6: Final answer
    x = 4,609.98

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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.