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Finding the Fourth Proportional to 4,191.39, 5,784.17 and 2,303.02

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Solution

The fourth proportional to 4,191.39, 5,784.17 and 2,303.02 is: 3,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.39 : 5,784.17 = 2,303.02 : x
  2. Step 2: Convert to fraction form
    4,191.39/5,784.17 = 2,303.02/x
  3. Step 3: Cross multiply
    4,191.39x = 5,784.17 × 2,303.02
  4. Step 4: Simplify right side
    4,191.39x = 13,321,059.19
  5. Step 5: Solve for x
    x = 13,321,059.19/4,191.39
  6. Step 6: Final answer
    x = 3,178.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.