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Finding the Fourth Proportional to 3,428.06, 4,730.93 and 1,935.95

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Solution

The fourth proportional to 3,428.06, 4,730.93 and 1,935.95 is: 2,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.06 : 4,730.93 = 1,935.95 : x
  2. Step 2: Convert to fraction form
    3,428.06/4,730.93 = 1,935.95/x
  3. Step 3: Cross multiply
    3,428.06x = 4,730.93 × 1,935.95
  4. Step 4: Simplify right side
    3,428.06x = 9,158,825.12
  5. Step 5: Solve for x
    x = 9,158,825.12/3,428.06
  6. Step 6: Final answer
    x = 2,671.72

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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.