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Finding the Fourth Proportional to 3,762.48, 5,191.32 and 2,106.48

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Solution

The fourth proportional to 3,762.48, 5,191.32 and 2,106.48 is: 2,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.48 : 5,191.32 = 2,106.48 : x
  2. Step 2: Convert to fraction form
    3,762.48/5,191.32 = 2,106.48/x
  3. Step 3: Cross multiply
    3,762.48x = 5,191.32 × 2,106.48
  4. Step 4: Simplify right side
    3,762.48x = 10,935,411.75
  5. Step 5: Solve for x
    x = 10,935,411.75/3,762.48
  6. Step 6: Final answer
    x = 2,906.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.