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Finding the Fourth Proportional to 3,565.84, 4,921.56 and 1,993.84

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Solution

The fourth proportional to 3,565.84, 4,921.56 and 1,993.84 is: 2,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.84 : 4,921.56 = 1,993.84 : x
  2. Step 2: Convert to fraction form
    3,565.84/4,921.56 = 1,993.84/x
  3. Step 3: Cross multiply
    3,565.84x = 4,921.56 × 1,993.84
  4. Step 4: Simplify right side
    3,565.84x = 9,812,803.19
  5. Step 5: Solve for x
    x = 9,812,803.19/3,565.84
  6. Step 6: Final answer
    x = 2,751.89

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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.