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Finding the Fourth Proportional to 4,176.95, 5,764.19 and 2,313.95

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Solution

The fourth proportional to 4,176.95, 5,764.19 and 2,313.95 is: 3,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.95 : 5,764.19 = 2,313.95 : x
  2. Step 2: Convert to fraction form
    4,176.95/5,764.19 = 2,313.95/x
  3. Step 3: Cross multiply
    4,176.95x = 5,764.19 × 2,313.95
  4. Step 4: Simplify right side
    4,176.95x = 13,338,007.06
  5. Step 5: Solve for x
    x = 13,338,007.06/4,176.95
  6. Step 6: Final answer
    x = 3,193.24

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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.