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Finding the Fourth Proportional to 4,764.67, 6,575.86 and 2,775.26

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Solution

The fourth proportional to 4,764.67, 6,575.86 and 2,775.26 is: 3,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.67 : 6,575.86 = 2,775.26 : x
  2. Step 2: Convert to fraction form
    4,764.67/6,575.86 = 2,775.26/x
  3. Step 3: Cross multiply
    4,764.67x = 6,575.86 × 2,775.26
  4. Step 4: Simplify right side
    4,764.67x = 18,249,721.22
  5. Step 5: Solve for x
    x = 18,249,721.22/4,764.67
  6. Step 6: Final answer
    x = 3,830.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.