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Finding the Fourth Proportional to 4,679.84, 6,458.10 and 2,583.92

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Solution

The fourth proportional to 4,679.84, 6,458.10 and 2,583.92 is: 3,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.84 : 6,458.10 = 2,583.92 : x
  2. Step 2: Convert to fraction form
    4,679.84/6,458.10 = 2,583.92/x
  3. Step 3: Cross multiply
    4,679.84x = 6,458.10 × 2,583.92
  4. Step 4: Simplify right side
    4,679.84x = 16,687,213.75
  5. Step 5: Solve for x
    x = 16,687,213.75/4,679.84
  6. Step 6: Final answer
    x = 3,565.77

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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.