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Finding the Fourth Proportional to 8,234, 12,349.80 and 3,038.96

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Solution

The fourth proportional to 8,234, 12,349.80 and 3,038.96 is: 4,558.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234 : 12,349.80 = 3,038.96 : x
  2. Step 2: Convert to fraction form
    8,234/12,349.80 = 3,038.96/x
  3. Step 3: Cross multiply
    8,234x = 12,349.80 × 3,038.96
  4. Step 4: Simplify right side
    8,234x = 37,530,548.21
  5. Step 5: Solve for x
    x = 37,530,548.21/8,234
  6. Step 6: Final answer
    x = 4,558.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.