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Finding the Fourth Proportional to 4,055.19, 6,082.79 and 977.19

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Solution

The fourth proportional to 4,055.19, 6,082.79 and 977.19 is: 1,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.19 : 6,082.79 = 977.19 : x
  2. Step 2: Convert to fraction form
    4,055.19/6,082.79 = 977.19/x
  3. Step 3: Cross multiply
    4,055.19x = 6,082.79 × 977.19
  4. Step 4: Simplify right side
    4,055.19x = 5,944,036.67
  5. Step 5: Solve for x
    x = 5,944,036.67/4,055.19
  6. Step 6: Final answer
    x = 1,465.79

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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.