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Finding the Fourth Proportional to 4,191.01, 5,783.63 and 2,302.63

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Solution

The fourth proportional to 4,191.01, 5,783.63 and 2,302.63 is: 3,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.01 : 5,783.63 = 2,302.63 : x
  2. Step 2: Convert to fraction form
    4,191.01/5,783.63 = 2,302.63/x
  3. Step 3: Cross multiply
    4,191.01x = 5,783.63 × 2,302.63
  4. Step 4: Simplify right side
    4,191.01x = 13,317,559.95
  5. Step 5: Solve for x
    x = 13,317,559.95/4,191.01
  6. Step 6: Final answer
    x = 3,177.65

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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.