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Finding the Fourth Proportional to 5,975.84, 8,243.16 and 3,881.36

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Solution

The fourth proportional to 5,975.84, 8,243.16 and 3,881.36 is: 5,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.84 : 8,243.16 = 3,881.36 : x
  2. Step 2: Convert to fraction form
    5,975.84/8,243.16 = 3,881.36/x
  3. Step 3: Cross multiply
    5,975.84x = 8,243.16 × 3,881.36
  4. Step 4: Simplify right side
    5,975.84x = 31,994,671.50
  5. Step 5: Solve for x
    x = 31,994,671.50/5,975.84
  6. Step 6: Final answer
    x = 5,354.00

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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.