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Finding the Fourth Proportional to 3,888.81, 5,834.06 and 1,256.46

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Solution

The fourth proportional to 3,888.81, 5,834.06 and 1,256.46 is: 1,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.81 : 5,834.06 = 1,256.46 : x
  2. Step 2: Convert to fraction form
    3,888.81/5,834.06 = 1,256.46/x
  3. Step 3: Cross multiply
    3,888.81x = 5,834.06 × 1,256.46
  4. Step 4: Simplify right side
    3,888.81x = 7,330,256.75
  5. Step 5: Solve for x
    x = 7,330,256.75/3,888.81
  6. Step 6: Final answer
    x = 1,884.96

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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.