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Finding the Fourth Proportional to 6,395.00, 8,821.81 and 4,156.06

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Solution

The fourth proportional to 6,395.00, 8,821.81 and 4,156.06 is: 5,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.00 : 8,821.81 = 4,156.06 : x
  2. Step 2: Convert to fraction form
    6,395.00/8,821.81 = 4,156.06/x
  3. Step 3: Cross multiply
    6,395.00x = 8,821.81 × 4,156.06
  4. Step 4: Simplify right side
    6,395.00x = 36,663,971.35
  5. Step 5: Solve for x
    x = 36,663,971.35/6,395.00
  6. Step 6: Final answer
    x = 5,733.22

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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.