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Finding the Fourth Proportional to 4,055.54, 6,083.30 and 977.54

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Solution

The fourth proportional to 4,055.54, 6,083.30 and 977.54 is: 1,466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.54 : 6,083.30 = 977.54 : x
  2. Step 2: Convert to fraction form
    4,055.54/6,083.30 = 977.54/x
  3. Step 3: Cross multiply
    4,055.54x = 6,083.30 × 977.54
  4. Step 4: Simplify right side
    4,055.54x = 5,946,686.73
  5. Step 5: Solve for x
    x = 5,946,686.73/4,055.54
  6. Step 6: Final answer
    x = 1,466.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.