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Finding the Fourth Proportional to 4,566.84, 6,837.48 and 2,919.24

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Solution

The fourth proportional to 4,566.84, 6,837.48 and 2,919.24 is: 4,370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.84 : 6,837.48 = 2,919.24 : x
  2. Step 2: Convert to fraction form
    4,566.84/6,837.48 = 2,919.24/x
  3. Step 3: Cross multiply
    4,566.84x = 6,837.48 × 2,919.24
  4. Step 4: Simplify right side
    4,566.84x = 19,960,245.12
  5. Step 5: Solve for x
    x = 19,960,245.12/4,566.84
  6. Step 6: Final answer
    x = 4,370.69

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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.