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Finding the Fourth Proportional to 5,928.42, 8,882.82 and 5,317.94

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Solution

The fourth proportional to 5,928.42, 8,882.82 and 5,317.94 is: 7,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.42 : 8,882.82 = 5,317.94 : x
  2. Step 2: Convert to fraction form
    5,928.42/8,882.82 = 5,317.94/x
  3. Step 3: Cross multiply
    5,928.42x = 8,882.82 × 5,317.94
  4. Step 4: Simplify right side
    5,928.42x = 47,238,303.79
  5. Step 5: Solve for x
    x = 47,238,303.79/5,928.42
  6. Step 6: Final answer
    x = 7,968.11

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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.