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Finding the Fourth Proportional to 4,930.64, 6,803.16 and 2,941.84

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Solution

The fourth proportional to 4,930.64, 6,803.16 and 2,941.84 is: 4,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.64 : 6,803.16 = 2,941.84 : x
  2. Step 2: Convert to fraction form
    4,930.64/6,803.16 = 2,941.84/x
  3. Step 3: Cross multiply
    4,930.64x = 6,803.16 × 2,941.84
  4. Step 4: Simplify right side
    4,930.64x = 20,013,808.21
  5. Step 5: Solve for x
    x = 20,013,808.21/4,930.64
  6. Step 6: Final answer
    x = 4,059.07

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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.