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Finding the Fourth Proportional to 6,189.82, 8,541.84 and 3,501

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Solution

The fourth proportional to 6,189.82, 8,541.84 and 3,501 is: 4,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.82 : 8,541.84 = 3,501 : x
  2. Step 2: Convert to fraction form
    6,189.82/8,541.84 = 3,501/x
  3. Step 3: Cross multiply
    6,189.82x = 8,541.84 × 3,501
  4. Step 4: Simplify right side
    6,189.82x = 29,904,981.84
  5. Step 5: Solve for x
    x = 29,904,981.84/6,189.82
  6. Step 6: Final answer
    x = 4,831.32

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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.