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Finding the Fourth Proportional to 4,232.55, 6,339.05 and 4,031.67

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Solution

The fourth proportional to 4,232.55, 6,339.05 and 4,031.67 is: 6,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.55 : 6,339.05 = 4,031.67 : x
  2. Step 2: Convert to fraction form
    4,232.55/6,339.05 = 4,031.67/x
  3. Step 3: Cross multiply
    4,232.55x = 6,339.05 × 4,031.67
  4. Step 4: Simplify right side
    4,232.55x = 25,556,937.56
  5. Step 5: Solve for x
    x = 25,556,937.56/4,232.55
  6. Step 6: Final answer
    x = 6,038.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.