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Finding the Fourth Proportional to 5,953.74, 8,215.56 and 3,563.22

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Solution

The fourth proportional to 5,953.74, 8,215.56 and 3,563.22 is: 4,916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.74 : 8,215.56 = 3,563.22 : x
  2. Step 2: Convert to fraction form
    5,953.74/8,215.56 = 3,563.22/x
  3. Step 3: Cross multiply
    5,953.74x = 8,215.56 × 3,563.22
  4. Step 4: Simplify right side
    5,953.74x = 29,273,878.51
  5. Step 5: Solve for x
    x = 29,273,878.51/5,953.74
  6. Step 6: Final answer
    x = 4,916.89

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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.