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Finding the Fourth Proportional to 4,222.34, 6,335.22 and 2,033

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Solution

The fourth proportional to 4,222.34, 6,335.22 and 2,033 is: 3,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.34 : 6,335.22 = 2,033 : x
  2. Step 2: Convert to fraction form
    4,222.34/6,335.22 = 2,033/x
  3. Step 3: Cross multiply
    4,222.34x = 6,335.22 × 2,033
  4. Step 4: Simplify right side
    4,222.34x = 12,879,502.26
  5. Step 5: Solve for x
    x = 12,879,502.26/4,222.34
  6. Step 6: Final answer
    x = 3,050.32

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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.