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Finding the Fourth Proportional to 3,148.63, 4,723.13 and 957.52

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Solution

The fourth proportional to 3,148.63, 4,723.13 and 957.52 is: 1,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.63 : 4,723.13 = 957.52 : x
  2. Step 2: Convert to fraction form
    3,148.63/4,723.13 = 957.52/x
  3. Step 3: Cross multiply
    3,148.63x = 4,723.13 × 957.52
  4. Step 4: Simplify right side
    3,148.63x = 4,522,470.22
  5. Step 5: Solve for x
    x = 4,522,470.22/3,148.63
  6. Step 6: Final answer
    x = 1,436.33

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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.