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Finding the Fourth Proportional to 4,214.79, 6,323.54 and 2,023.67

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Solution

The fourth proportional to 4,214.79, 6,323.54 and 2,023.67 is: 3,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.79 : 6,323.54 = 2,023.67 : x
  2. Step 2: Convert to fraction form
    4,214.79/6,323.54 = 2,023.67/x
  3. Step 3: Cross multiply
    4,214.79x = 6,323.54 × 2,023.67
  4. Step 4: Simplify right side
    4,214.79x = 12,796,763.88
  5. Step 5: Solve for x
    x = 12,796,763.88/4,214.79
  6. Step 6: Final answer
    x = 3,036.16

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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.