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Finding the Fourth Proportional to 4,521.46, 6,782.14 and 1,924.42

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Solution

The fourth proportional to 4,521.46, 6,782.14 and 1,924.42 is: 2,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,521.46 : 6,782.14 = 1,924.42 : x
  2. Step 2: Convert to fraction form
    4,521.46/6,782.14 = 1,924.42/x
  3. Step 3: Cross multiply
    4,521.46x = 6,782.14 × 1,924.42
  4. Step 4: Simplify right side
    4,521.46x = 13,051,685.86
  5. Step 5: Solve for x
    x = 13,051,685.86/4,521.46
  6. Step 6: Final answer
    x = 2,886.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.