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Finding the Fourth Proportional to 6,184.34, 8,534.50 and 3,389.66

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Solution

The fourth proportional to 6,184.34, 8,534.50 and 3,389.66 is: 4,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.34 : 8,534.50 = 3,389.66 : x
  2. Step 2: Convert to fraction form
    6,184.34/8,534.50 = 3,389.66/x
  3. Step 3: Cross multiply
    6,184.34x = 8,534.50 × 3,389.66
  4. Step 4: Simplify right side
    6,184.34x = 28,929,053.27
  5. Step 5: Solve for x
    x = 28,929,053.27/6,184.34
  6. Step 6: Final answer
    x = 4,677.79

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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.