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Finding the Fourth Proportional to 6,182.84, 8,533.95 and 3,665.71

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Solution

The fourth proportional to 6,182.84, 8,533.95 and 3,665.71 is: 5,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.84 : 8,533.95 = 3,665.71 : x
  2. Step 2: Convert to fraction form
    6,182.84/8,533.95 = 3,665.71/x
  3. Step 3: Cross multiply
    6,182.84x = 8,533.95 × 3,665.71
  4. Step 4: Simplify right side
    6,182.84x = 31,282,985.85
  5. Step 5: Solve for x
    x = 31,282,985.85/6,182.84
  6. Step 6: Final answer
    x = 5,059.65

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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.