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Finding the Fourth Proportional to 5,887.75, 8,831.64 and 1,783.75

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Solution

The fourth proportional to 5,887.75, 8,831.64 and 1,783.75 is: 2,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.75 : 8,831.64 = 1,783.75 : x
  2. Step 2: Convert to fraction form
    5,887.75/8,831.64 = 1,783.75/x
  3. Step 3: Cross multiply
    5,887.75x = 8,831.64 × 1,783.75
  4. Step 4: Simplify right side
    5,887.75x = 15,753,437.85
  5. Step 5: Solve for x
    x = 15,753,437.85/5,887.75
  6. Step 6: Final answer
    x = 2,675.63

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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.