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Finding the Fourth Proportional to 4,666.95, 6,428.97 and 3,920.40

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Solution

The fourth proportional to 4,666.95, 6,428.97 and 3,920.40 is: 5,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.95 : 6,428.97 = 3,920.40 : x
  2. Step 2: Convert to fraction form
    4,666.95/6,428.97 = 3,920.40/x
  3. Step 3: Cross multiply
    4,666.95x = 6,428.97 × 3,920.40
  4. Step 4: Simplify right side
    4,666.95x = 25,204,133.99
  5. Step 5: Solve for x
    x = 25,204,133.99/4,666.95
  6. Step 6: Final answer
    x = 5,400.56

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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.