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Finding the Fourth Proportional to 4,847.36, 7,266.66 and 1,925

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Solution

The fourth proportional to 4,847.36, 7,266.66 and 1,925 is: 2,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.36 : 7,266.66 = 1,925 : x
  2. Step 2: Convert to fraction form
    4,847.36/7,266.66 = 1,925/x
  3. Step 3: Cross multiply
    4,847.36x = 7,266.66 × 1,925
  4. Step 4: Simplify right side
    4,847.36x = 13,988,320.50
  5. Step 5: Solve for x
    x = 13,988,320.50/4,847.36
  6. Step 6: Final answer
    x = 2,885.76

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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.