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Finding the Fourth Proportional to 4,935.98, 7,405.62 and 3,084.86

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Solution

The fourth proportional to 4,935.98, 7,405.62 and 3,084.86 is: 4,628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.98 : 7,405.62 = 3,084.86 : x
  2. Step 2: Convert to fraction form
    4,935.98/7,405.62 = 3,084.86/x
  3. Step 3: Cross multiply
    4,935.98x = 7,405.62 × 3,084.86
  4. Step 4: Simplify right side
    4,935.98x = 22,845,300.91
  5. Step 5: Solve for x
    x = 22,845,300.91/4,935.98
  6. Step 6: Final answer
    x = 4,628.32

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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.