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Finding the Fourth Proportional to 5,696.49, 7,804.23 and 5,483.46

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Solution

The fourth proportional to 5,696.49, 7,804.23 and 5,483.46 is: 7,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.49 : 7,804.23 = 5,483.46 : x
  2. Step 2: Convert to fraction form
    5,696.49/7,804.23 = 5,483.46/x
  3. Step 3: Cross multiply
    5,696.49x = 7,804.23 × 5,483.46
  4. Step 4: Simplify right side
    5,696.49x = 42,794,222.58
  5. Step 5: Solve for x
    x = 42,794,222.58/5,696.49
  6. Step 6: Final answer
    x = 7,512.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.