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Finding the Fourth Proportional to 3,565, 4,919.70 and 1,993.47

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Solution

The fourth proportional to 3,565, 4,919.70 and 1,993.47 is: 2,750.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565 : 4,919.70 = 1,993.47 : x
  2. Step 2: Convert to fraction form
    3,565/4,919.70 = 1,993.47/x
  3. Step 3: Cross multiply
    3,565x = 4,919.70 × 1,993.47
  4. Step 4: Simplify right side
    3,565x = 9,807,274.36
  5. Step 5: Solve for x
    x = 9,807,274.36/3,565
  6. Step 6: Final answer
    x = 2,750.99

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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.