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Finding the Fourth Proportional to 4,726.69, 7,089.49 and 1,264.21

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Solution

The fourth proportional to 4,726.69, 7,089.49 and 1,264.21 is: 1,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.69 : 7,089.49 = 1,264.21 : x
  2. Step 2: Convert to fraction form
    4,726.69/7,089.49 = 1,264.21/x
  3. Step 3: Cross multiply
    4,726.69x = 7,089.49 × 1,264.21
  4. Step 4: Simplify right side
    4,726.69x = 8,962,562.38
  5. Step 5: Solve for x
    x = 8,962,562.38/4,726.69
  6. Step 6: Final answer
    x = 1,896.16

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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.