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Finding the Fourth Proportional to 4,575.84, 6,830.64 and 3,914.88

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Solution

The fourth proportional to 4,575.84, 6,830.64 and 3,914.88 is: 5,843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.84 : 6,830.64 = 3,914.88 : x
  2. Step 2: Convert to fraction form
    4,575.84/6,830.64 = 3,914.88/x
  3. Step 3: Cross multiply
    4,575.84x = 6,830.64 × 3,914.88
  4. Step 4: Simplify right side
    4,575.84x = 26,741,135.92
  5. Step 5: Solve for x
    x = 26,741,135.92/4,575.84
  6. Step 6: Final answer
    x = 5,843.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.