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Finding the Fourth Proportional to 4,214.88, 5,817.12 and 2,352

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Solution

The fourth proportional to 4,214.88, 5,817.12 and 2,352 is: 3,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.88 : 5,817.12 = 2,352 : x
  2. Step 2: Convert to fraction form
    4,214.88/5,817.12 = 2,352/x
  3. Step 3: Cross multiply
    4,214.88x = 5,817.12 × 2,352
  4. Step 4: Simplify right side
    4,214.88x = 13,681,866.24
  5. Step 5: Solve for x
    x = 13,681,866.24/4,214.88
  6. Step 6: Final answer
    x = 3,246.09

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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.