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Finding the Fourth Proportional to 3,148.70, 4,723.05 and 3,100.10

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Solution

The fourth proportional to 3,148.70, 4,723.05 and 3,100.10 is: 4,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.70 : 4,723.05 = 3,100.10 : x
  2. Step 2: Convert to fraction form
    3,148.70/4,723.05 = 3,100.10/x
  3. Step 3: Cross multiply
    3,148.70x = 4,723.05 × 3,100.10
  4. Step 4: Simplify right side
    3,148.70x = 14,641,927.31
  5. Step 5: Solve for x
    x = 14,641,927.31/3,148.70
  6. Step 6: Final answer
    x = 4,650.15

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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.