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Finding the Fourth Proportional to 4,758.84, 6,562.84 and 4,086.42

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Solution

The fourth proportional to 4,758.84, 6,562.84 and 4,086.42 is: 5,635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.84 : 6,562.84 = 4,086.42 : x
  2. Step 2: Convert to fraction form
    4,758.84/6,562.84 = 4,086.42/x
  3. Step 3: Cross multiply
    4,758.84x = 6,562.84 × 4,086.42
  4. Step 4: Simplify right side
    4,758.84x = 26,818,467.39
  5. Step 5: Solve for x
    x = 26,818,467.39/4,758.84
  6. Step 6: Final answer
    x = 5,635.51

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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.