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Finding the Fourth Proportional to 4,233.46, 6,349.64 and 2,038.90

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Solution

The fourth proportional to 4,233.46, 6,349.64 and 2,038.90 is: 3,058.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.46 : 6,349.64 = 2,038.90 : x
  2. Step 2: Convert to fraction form
    4,233.46/6,349.64 = 2,038.90/x
  3. Step 3: Cross multiply
    4,233.46x = 6,349.64 × 2,038.90
  4. Step 4: Simplify right side
    4,233.46x = 12,946,281.00
  5. Step 5: Solve for x
    x = 12,946,281.00/4,233.46
  6. Step 6: Final answer
    x = 3,058.09

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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.