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Finding the Fourth Proportional to 4,726.77, 7,089.62 and 1,264.29

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Solution

The fourth proportional to 4,726.77, 7,089.62 and 1,264.29 is: 1,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.77 : 7,089.62 = 1,264.29 : x
  2. Step 2: Convert to fraction form
    4,726.77/7,089.62 = 1,264.29/x
  3. Step 3: Cross multiply
    4,726.77x = 7,089.62 × 1,264.29
  4. Step 4: Simplify right side
    4,726.77x = 8,963,329.35
  5. Step 5: Solve for x
    x = 8,963,329.35/4,726.77
  6. Step 6: Final answer
    x = 1,896.29

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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.