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Finding the Fourth Proportional to 4,191.44, 5,784.23 and 2,303.00

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Solution

The fourth proportional to 4,191.44, 5,784.23 and 2,303.00 is: 3,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.44 : 5,784.23 = 2,303.00 : x
  2. Step 2: Convert to fraction form
    4,191.44/5,784.23 = 2,303.00/x
  3. Step 3: Cross multiply
    4,191.44x = 5,784.23 × 2,303.00
  4. Step 4: Simplify right side
    4,191.44x = 13,321,058.53
  5. Step 5: Solve for x
    x = 13,321,058.53/4,191.44
  6. Step 6: Final answer
    x = 3,178.16

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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.