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Finding the Fourth Proportional to 2,946.07, 4,059.62 and 2,473.13

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Solution

The fourth proportional to 2,946.07, 4,059.62 and 2,473.13 is: 3,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.07 : 4,059.62 = 2,473.13 : x
  2. Step 2: Convert to fraction form
    2,946.07/4,059.62 = 2,473.13/x
  3. Step 3: Cross multiply
    2,946.07x = 4,059.62 × 2,473.13
  4. Step 4: Simplify right side
    2,946.07x = 10,039,975.07
  5. Step 5: Solve for x
    x = 10,039,975.07/2,946.07
  6. Step 6: Final answer
    x = 3,407.92

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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.