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Finding the Fourth Proportional to 3,148.07, 4,723.33 and 957.02

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Solution

The fourth proportional to 3,148.07, 4,723.33 and 957.02 is: 1,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.07 : 4,723.33 = 957.02 : x
  2. Step 2: Convert to fraction form
    3,148.07/4,723.33 = 957.02/x
  3. Step 3: Cross multiply
    3,148.07x = 4,723.33 × 957.02
  4. Step 4: Simplify right side
    3,148.07x = 4,520,295.27
  5. Step 5: Solve for x
    x = 4,520,295.27/3,148.07
  6. Step 6: Final answer
    x = 1,435.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.