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Finding the Fourth Proportional to 4,497.90, 6,745.14 and 1,376.94

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Solution

The fourth proportional to 4,497.90, 6,745.14 and 1,376.94 is: 2,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.90 : 6,745.14 = 1,376.94 : x
  2. Step 2: Convert to fraction form
    4,497.90/6,745.14 = 1,376.94/x
  3. Step 3: Cross multiply
    4,497.90x = 6,745.14 × 1,376.94
  4. Step 4: Simplify right side
    4,497.90x = 9,287,653.07
  5. Step 5: Solve for x
    x = 9,287,653.07/4,497.90
  6. Step 6: Final answer
    x = 2,064.89

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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.