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Finding the Fourth Proportional to 4,184.58, 5,774.72 and 2,321.58

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Solution

The fourth proportional to 4,184.58, 5,774.72 and 2,321.58 is: 3,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.58 : 5,774.72 = 2,321.58 : x
  2. Step 2: Convert to fraction form
    4,184.58/5,774.72 = 2,321.58/x
  3. Step 3: Cross multiply
    4,184.58x = 5,774.72 × 2,321.58
  4. Step 4: Simplify right side
    4,184.58x = 13,406,458.55
  5. Step 5: Solve for x
    x = 13,406,458.55/4,184.58
  6. Step 6: Final answer
    x = 3,203.78

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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.