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Finding the Fourth Proportional to 4,935.44, 6,815.40 and 4,638.80

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Solution

The fourth proportional to 4,935.44, 6,815.40 and 4,638.80 is: 6,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.44 : 6,815.40 = 4,638.80 : x
  2. Step 2: Convert to fraction form
    4,935.44/6,815.40 = 4,638.80/x
  3. Step 3: Cross multiply
    4,935.44x = 6,815.40 × 4,638.80
  4. Step 4: Simplify right side
    4,935.44x = 31,615,277.52
  5. Step 5: Solve for x
    x = 31,615,277.52/4,935.44
  6. Step 6: Final answer
    x = 6,405.77

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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.