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Finding the Fourth Proportional to 4,120.50, 5,686.14 and 2,352

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Solution

The fourth proportional to 4,120.50, 5,686.14 and 2,352 is: 3,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.50 : 5,686.14 = 2,352 : x
  2. Step 2: Convert to fraction form
    4,120.50/5,686.14 = 2,352/x
  3. Step 3: Cross multiply
    4,120.50x = 5,686.14 × 2,352
  4. Step 4: Simplify right side
    4,120.50x = 13,373,801.28
  5. Step 5: Solve for x
    x = 13,373,801.28/4,120.50
  6. Step 6: Final answer
    x = 3,245.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.