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Finding the Fourth Proportional to 4,774.74, 7,129.43 and 4,277.94

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Solution

The fourth proportional to 4,774.74, 7,129.43 and 4,277.94 is: 6,387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.74 : 7,129.43 = 4,277.94 : x
  2. Step 2: Convert to fraction form
    4,774.74/7,129.43 = 4,277.94/x
  3. Step 3: Cross multiply
    4,774.74x = 7,129.43 × 4,277.94
  4. Step 4: Simplify right side
    4,774.74x = 30,499,252.38
  5. Step 5: Solve for x
    x = 30,499,252.38/4,774.74
  6. Step 6: Final answer
    x = 6,387.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.