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Finding the Fourth Proportional to 4,946.49, 7,405.16 and 3,298.95

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Solution

The fourth proportional to 4,946.49, 7,405.16 and 3,298.95 is: 4,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.49 : 7,405.16 = 3,298.95 : x
  2. Step 2: Convert to fraction form
    4,946.49/7,405.16 = 3,298.95/x
  3. Step 3: Cross multiply
    4,946.49x = 7,405.16 × 3,298.95
  4. Step 4: Simplify right side
    4,946.49x = 24,429,236.09
  5. Step 5: Solve for x
    x = 24,429,236.09/4,946.49
  6. Step 6: Final answer
    x = 4,938.70

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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.