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Finding the Fourth Proportional to 4,212.67, 6,312 and 2,564.23

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Solution

The fourth proportional to 4,212.67, 6,312 and 2,564.23 is: 3,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.67 : 6,312 = 2,564.23 : x
  2. Step 2: Convert to fraction form
    4,212.67/6,312 = 2,564.23/x
  3. Step 3: Cross multiply
    4,212.67x = 6,312 × 2,564.23
  4. Step 4: Simplify right side
    4,212.67x = 16,185,419.76
  5. Step 5: Solve for x
    x = 16,185,419.76/4,212.67
  6. Step 6: Final answer
    x = 3,842.08

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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.