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Finding the Fourth Proportional to 6,142.61, 8,477.25 and 3,624.32

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Solution

The fourth proportional to 6,142.61, 8,477.25 and 3,624.32 is: 5,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.61 : 8,477.25 = 3,624.32 : x
  2. Step 2: Convert to fraction form
    6,142.61/8,477.25 = 3,624.32/x
  3. Step 3: Cross multiply
    6,142.61x = 8,477.25 × 3,624.32
  4. Step 4: Simplify right side
    6,142.61x = 30,724,266.72
  5. Step 5: Solve for x
    x = 30,724,266.72/6,142.61
  6. Step 6: Final answer
    x = 5,001.83

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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.