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Finding the Fourth Proportional to 5,946.40, 8,941.20 and 5,816.80

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Solution

The fourth proportional to 5,946.40, 8,941.20 and 5,816.80 is: 8,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.40 : 8,941.20 = 5,816.80 : x
  2. Step 2: Convert to fraction form
    5,946.40/8,941.20 = 5,816.80/x
  3. Step 3: Cross multiply
    5,946.40x = 8,941.20 × 5,816.80
  4. Step 4: Simplify right side
    5,946.40x = 52,009,172.16
  5. Step 5: Solve for x
    x = 52,009,172.16/5,946.40
  6. Step 6: Final answer
    x = 8,746.33

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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.