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Finding the Fourth Proportional to 4,948.56, 6,822.72 and 3,533.94

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Solution

The fourth proportional to 4,948.56, 6,822.72 and 3,533.94 is: 4,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.56 : 6,822.72 = 3,533.94 : x
  2. Step 2: Convert to fraction form
    4,948.56/6,822.72 = 3,533.94/x
  3. Step 3: Cross multiply
    4,948.56x = 6,822.72 × 3,533.94
  4. Step 4: Simplify right side
    4,948.56x = 24,111,083.12
  5. Step 5: Solve for x
    x = 24,111,083.12/4,948.56
  6. Step 6: Final answer
    x = 4,872.34

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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.