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Finding the Fourth Proportional to 4,323.76, 6,488.06 and 2,134.32

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Solution

The fourth proportional to 4,323.76, 6,488.06 and 2,134.32 is: 3,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.76 : 6,488.06 = 2,134.32 : x
  2. Step 2: Convert to fraction form
    4,323.76/6,488.06 = 2,134.32/x
  3. Step 3: Cross multiply
    4,323.76x = 6,488.06 × 2,134.32
  4. Step 4: Simplify right side
    4,323.76x = 13,847,596.22
  5. Step 5: Solve for x
    x = 13,847,596.22/4,323.76
  6. Step 6: Final answer
    x = 3,202.67

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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.