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Finding the Fourth Proportional to 4,842.30, 6,793.80 and 4,842.30

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Solution

The fourth proportional to 4,842.30, 6,793.80 and 4,842.30 is: 6,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.30 : 6,793.80 = 4,842.30 : x
  2. Step 2: Convert to fraction form
    4,842.30/6,793.80 = 4,842.30/x
  3. Step 3: Cross multiply
    4,842.30x = 6,793.80 × 4,842.30
  4. Step 4: Simplify right side
    4,842.30x = 32,897,617.74
  5. Step 5: Solve for x
    x = 32,897,617.74/4,842.30
  6. Step 6: Final answer
    x = 6,793.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.