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Finding the Fourth Proportional to 3,777.58, 5,659.08 and 1,831.15

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Solution

The fourth proportional to 3,777.58, 5,659.08 and 1,831.15 is: 2,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.58 : 5,659.08 = 1,831.15 : x
  2. Step 2: Convert to fraction form
    3,777.58/5,659.08 = 1,831.15/x
  3. Step 3: Cross multiply
    3,777.58x = 5,659.08 × 1,831.15
  4. Step 4: Simplify right side
    3,777.58x = 10,362,624.34
  5. Step 5: Solve for x
    x = 10,362,624.34/3,777.58
  6. Step 6: Final answer
    x = 2,743.19

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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.