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Finding the Fourth Proportional to 3,806.02, 5,708.63 and 1,032.52

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Solution

The fourth proportional to 3,806.02, 5,708.63 and 1,032.52 is: 1,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.02 : 5,708.63 = 1,032.52 : x
  2. Step 2: Convert to fraction form
    3,806.02/5,708.63 = 1,032.52/x
  3. Step 3: Cross multiply
    3,806.02x = 5,708.63 × 1,032.52
  4. Step 4: Simplify right side
    3,806.02x = 5,894,274.65
  5. Step 5: Solve for x
    x = 5,894,274.65/3,806.02
  6. Step 6: Final answer
    x = 1,548.67

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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.