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Finding the Fourth Proportional to 5,846.98, 8,065.38 and 4,051.66

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Solution

The fourth proportional to 5,846.98, 8,065.38 and 4,051.66 is: 5,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.98 : 8,065.38 = 4,051.66 : x
  2. Step 2: Convert to fraction form
    5,846.98/8,065.38 = 4,051.66/x
  3. Step 3: Cross multiply
    5,846.98x = 8,065.38 × 4,051.66
  4. Step 4: Simplify right side
    5,846.98x = 32,678,177.53
  5. Step 5: Solve for x
    x = 32,678,177.53/5,846.98
  6. Step 6: Final answer
    x = 5,588.90

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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.