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Finding the Fourth Proportional to 4,903.84, 7,356.12 and 1,982.08

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Solution

The fourth proportional to 4,903.84, 7,356.12 and 1,982.08 is: 2,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.84 : 7,356.12 = 1,982.08 : x
  2. Step 2: Convert to fraction form
    4,903.84/7,356.12 = 1,982.08/x
  3. Step 3: Cross multiply
    4,903.84x = 7,356.12 × 1,982.08
  4. Step 4: Simplify right side
    4,903.84x = 14,580,418.33
  5. Step 5: Solve for x
    x = 14,580,418.33/4,903.84
  6. Step 6: Final answer
    x = 2,973.27

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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.