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Finding the Fourth Proportional to 4,726.40, 7,083.52 and 2,536

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Solution

The fourth proportional to 4,726.40, 7,083.52 and 2,536 is: 3,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.40 : 7,083.52 = 2,536 : x
  2. Step 2: Convert to fraction form
    4,726.40/7,083.52 = 2,536/x
  3. Step 3: Cross multiply
    4,726.40x = 7,083.52 × 2,536
  4. Step 4: Simplify right side
    4,726.40x = 17,963,806.72
  5. Step 5: Solve for x
    x = 17,963,806.72/4,726.40
  6. Step 6: Final answer
    x = 3,800.74

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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.