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Finding the Fourth Proportional to 5,674.63, 7,831.05 and 3,316.31

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Solution

The fourth proportional to 5,674.63, 7,831.05 and 3,316.31 is: 4,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.63 : 7,831.05 = 3,316.31 : x
  2. Step 2: Convert to fraction form
    5,674.63/7,831.05 = 3,316.31/x
  3. Step 3: Cross multiply
    5,674.63x = 7,831.05 × 3,316.31
  4. Step 4: Simplify right side
    5,674.63x = 25,970,189.43
  5. Step 5: Solve for x
    x = 25,970,189.43/5,674.63
  6. Step 6: Final answer
    x = 4,576.55

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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.