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Finding the Fourth Proportional to 4,764.17, 6,575.17 and 2,774.76

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Solution

The fourth proportional to 4,764.17, 6,575.17 and 2,774.76 is: 3,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.17 : 6,575.17 = 2,774.76 : x
  2. Step 2: Convert to fraction form
    4,764.17/6,575.17 = 2,774.76/x
  3. Step 3: Cross multiply
    4,764.17x = 6,575.17 × 2,774.76
  4. Step 4: Simplify right side
    4,764.17x = 18,244,518.71
  5. Step 5: Solve for x
    x = 18,244,518.71/4,764.17
  6. Step 6: Final answer
    x = 3,829.53

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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.