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Finding the Fourth Proportional to 4,948.96, 6,822.72 and 4,795.60

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Solution

The fourth proportional to 4,948.96, 6,822.72 and 4,795.60 is: 6,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.96 : 6,822.72 = 4,795.60 : x
  2. Step 2: Convert to fraction form
    4,948.96/6,822.72 = 4,795.60/x
  3. Step 3: Cross multiply
    4,948.96x = 6,822.72 × 4,795.60
  4. Step 4: Simplify right side
    4,948.96x = 32,719,036.03
  5. Step 5: Solve for x
    x = 32,719,036.03/4,948.96
  6. Step 6: Final answer
    x = 6,611.30

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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.