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Finding the Fourth Proportional to 6,184.34, 8,534.03 and 3,666.69

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Solution

The fourth proportional to 6,184.34, 8,534.03 and 3,666.69 is: 5,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.34 : 8,534.03 = 3,666.69 : x
  2. Step 2: Convert to fraction form
    6,184.34/8,534.03 = 3,666.69/x
  3. Step 3: Cross multiply
    6,184.34x = 8,534.03 × 3,666.69
  4. Step 4: Simplify right side
    6,184.34x = 31,291,624.13
  5. Step 5: Solve for x
    x = 31,291,624.13/6,184.34
  6. Step 6: Final answer
    x = 5,059.82

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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.