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Finding the Fourth Proportional to 5,284.12, 7,924.50 and 4,939

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Solution

The fourth proportional to 5,284.12, 7,924.50 and 4,939 is: 7,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.12 : 7,924.50 = 4,939 : x
  2. Step 2: Convert to fraction form
    5,284.12/7,924.50 = 4,939/x
  3. Step 3: Cross multiply
    5,284.12x = 7,924.50 × 4,939
  4. Step 4: Simplify right side
    5,284.12x = 39,139,105.50
  5. Step 5: Solve for x
    x = 39,139,105.50/5,284.12
  6. Step 6: Final answer
    x = 7,406.93

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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.