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Finding the Fourth Proportional to 4,191.57, 5,784.33 and 2,303.17

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Solution

The fourth proportional to 4,191.57, 5,784.33 and 2,303.17 is: 3,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.57 : 5,784.33 = 2,303.17 : x
  2. Step 2: Convert to fraction form
    4,191.57/5,784.33 = 2,303.17/x
  3. Step 3: Cross multiply
    4,191.57x = 5,784.33 × 2,303.17
  4. Step 4: Simplify right side
    4,191.57x = 13,322,300.35
  5. Step 5: Solve for x
    x = 13,322,300.35/4,191.57
  6. Step 6: Final answer
    x = 3,178.36

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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.