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Finding the Fourth Proportional to 3,409.83, 5,114.75 and 2,831.49

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Solution

The fourth proportional to 3,409.83, 5,114.75 and 2,831.49 is: 4,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.83 : 5,114.75 = 2,831.49 : x
  2. Step 2: Convert to fraction form
    3,409.83/5,114.75 = 2,831.49/x
  3. Step 3: Cross multiply
    3,409.83x = 5,114.75 × 2,831.49
  4. Step 4: Simplify right side
    3,409.83x = 14,482,349.32
  5. Step 5: Solve for x
    x = 14,482,349.32/3,409.83
  6. Step 6: Final answer
    x = 4,247.24

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1.5x scale

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.