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Finding the Fourth Proportional to 4,055.26, 6,082.88 and 977.26

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Solution

The fourth proportional to 4,055.26, 6,082.88 and 977.26 is: 1,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.26 : 6,082.88 = 977.26 : x
  2. Step 2: Convert to fraction form
    4,055.26/6,082.88 = 977.26/x
  3. Step 3: Cross multiply
    4,055.26x = 6,082.88 × 977.26
  4. Step 4: Simplify right side
    4,055.26x = 5,944,555.31
  5. Step 5: Solve for x
    x = 5,944,555.31/4,055.26
  6. Step 6: Final answer
    x = 1,465.89

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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.