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Finding the Fourth Proportional to 5,816.45, 8,047.82 and 5,071.95

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Solution

The fourth proportional to 5,816.45, 8,047.82 and 5,071.95 is: 7,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.45 : 8,047.82 = 5,071.95 : x
  2. Step 2: Convert to fraction form
    5,816.45/8,047.82 = 5,071.95/x
  3. Step 3: Cross multiply
    5,816.45x = 8,047.82 × 5,071.95
  4. Step 4: Simplify right side
    5,816.45x = 40,818,115.29
  5. Step 5: Solve for x
    x = 40,818,115.29/5,816.45
  6. Step 6: Final answer
    x = 7,017.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.