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Finding the Fourth Proportional to 4,055.50, 6,083.25 and 977.50

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Solution

The fourth proportional to 4,055.50, 6,083.25 and 977.50 is: 1,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.50 : 6,083.25 = 977.50 : x
  2. Step 2: Convert to fraction form
    4,055.50/6,083.25 = 977.50/x
  3. Step 3: Cross multiply
    4,055.50x = 6,083.25 × 977.50
  4. Step 4: Simplify right side
    4,055.50x = 5,946,376.88
  5. Step 5: Solve for x
    x = 5,946,376.88/4,055.50
  6. Step 6: Final answer
    x = 1,466.25

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Why These Related Problems?

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