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Finding the Fourth Proportional to 6,184.68, 8,534.58 and 3,390.12

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Solution

The fourth proportional to 6,184.68, 8,534.58 and 3,390.12 is: 4,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.68 : 8,534.58 = 3,390.12 : x
  2. Step 2: Convert to fraction form
    6,184.68/8,534.58 = 3,390.12/x
  3. Step 3: Cross multiply
    6,184.68x = 8,534.58 × 3,390.12
  4. Step 4: Simplify right side
    6,184.68x = 28,933,250.35
  5. Step 5: Solve for x
    x = 28,933,250.35/6,184.68
  6. Step 6: Final answer
    x = 4,678.21

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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.