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Finding the Fourth Proportional to 3,783.84, 5,671.44 and 1,592.16

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Solution

The fourth proportional to 3,783.84, 5,671.44 and 1,592.16 is: 2,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.84 : 5,671.44 = 1,592.16 : x
  2. Step 2: Convert to fraction form
    3,783.84/5,671.44 = 1,592.16/x
  3. Step 3: Cross multiply
    3,783.84x = 5,671.44 × 1,592.16
  4. Step 4: Simplify right side
    3,783.84x = 9,029,839.91
  5. Step 5: Solve for x
    x = 9,029,839.91/3,783.84
  6. Step 6: Final answer
    x = 2,386.42

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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.