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Finding the Fourth Proportional to 4,946.09, 7,426.56 and 4,708.31

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Solution

The fourth proportional to 4,946.09, 7,426.56 and 4,708.31 is: 7,069.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.09 : 7,426.56 = 4,708.31 : x
  2. Step 2: Convert to fraction form
    4,946.09/7,426.56 = 4,708.31/x
  3. Step 3: Cross multiply
    4,946.09x = 7,426.56 × 4,708.31
  4. Step 4: Simplify right side
    4,946.09x = 34,966,546.71
  5. Step 5: Solve for x
    x = 34,966,546.71/4,946.09
  6. Step 6: Final answer
    x = 7,069.53

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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.