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Finding the Fourth Proportional to 6,184.58, 8,538.68 and 4,063.89

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Solution

The fourth proportional to 6,184.58, 8,538.68 and 4,063.89 is: 5,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.58 : 8,538.68 = 4,063.89 : x
  2. Step 2: Convert to fraction form
    6,184.58/8,538.68 = 4,063.89/x
  3. Step 3: Cross multiply
    6,184.58x = 8,538.68 × 4,063.89
  4. Step 4: Simplify right side
    6,184.58x = 34,700,235.95
  5. Step 5: Solve for x
    x = 34,700,235.95/6,184.58
  6. Step 6: Final answer
    x = 5,610.77

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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.