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Finding the Fourth Proportional to 4,135.95, 5,690.70 and 3,574.62

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Solution

The fourth proportional to 4,135.95, 5,690.70 and 3,574.62 is: 4,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.95 : 5,690.70 = 3,574.62 : x
  2. Step 2: Convert to fraction form
    4,135.95/5,690.70 = 3,574.62/x
  3. Step 3: Cross multiply
    4,135.95x = 5,690.70 × 3,574.62
  4. Step 4: Simplify right side
    4,135.95x = 20,342,090.03
  5. Step 5: Solve for x
    x = 20,342,090.03/4,135.95
  6. Step 6: Final answer
    x = 4,918.36

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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.