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Finding the Fourth Proportional to 4,191.62, 5,784.44 and 2,303.17

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Solution

The fourth proportional to 4,191.62, 5,784.44 and 2,303.17 is: 3,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.62 : 5,784.44 = 2,303.17 : x
  2. Step 2: Convert to fraction form
    4,191.62/5,784.44 = 2,303.17/x
  3. Step 3: Cross multiply
    4,191.62x = 5,784.44 × 2,303.17
  4. Step 4: Simplify right side
    4,191.62x = 13,322,522.70
  5. Step 5: Solve for x
    x = 13,322,522.70/4,191.62
  6. Step 6: Final answer
    x = 3,178.37

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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.