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Finding the Fourth Proportional to 5,664.46, 7,817.28 and 3,541.32

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Solution

The fourth proportional to 5,664.46, 7,817.28 and 3,541.32 is: 4,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.46 : 7,817.28 = 3,541.32 : x
  2. Step 2: Convert to fraction form
    5,664.46/7,817.28 = 3,541.32/x
  3. Step 3: Cross multiply
    5,664.46x = 7,817.28 × 3,541.32
  4. Step 4: Simplify right side
    5,664.46x = 27,683,490.01
  5. Step 5: Solve for x
    x = 27,683,490.01/5,664.46
  6. Step 6: Final answer
    x = 4,887.22

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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.