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Finding the Fourth Proportional to 6,596.40, 9,104.76 and 3,946.80

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Solution

The fourth proportional to 6,596.40, 9,104.76 and 3,946.80 is: 5,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.40 : 9,104.76 = 3,946.80 : x
  2. Step 2: Convert to fraction form
    6,596.40/9,104.76 = 3,946.80/x
  3. Step 3: Cross multiply
    6,596.40x = 9,104.76 × 3,946.80
  4. Step 4: Simplify right side
    6,596.40x = 35,934,666.77
  5. Step 5: Solve for x
    x = 35,934,666.77/6,596.40
  6. Step 6: Final answer
    x = 5,447.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.