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Finding the Fourth Proportional to 3,804.60, 5,696.10 and 3,415.80

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Solution

The fourth proportional to 3,804.60, 5,696.10 and 3,415.80 is: 5,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.60 : 5,696.10 = 3,415.80 : x
  2. Step 2: Convert to fraction form
    3,804.60/5,696.10 = 3,415.80/x
  3. Step 3: Cross multiply
    3,804.60x = 5,696.10 × 3,415.80
  4. Step 4: Simplify right side
    3,804.60x = 19,456,738.38
  5. Step 5: Solve for x
    x = 19,456,738.38/3,804.60
  6. Step 6: Final answer
    x = 5,114.00

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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.