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Finding the Fourth Proportional to 4,578.68, 6,315.36 and 2,811.26

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Solution

The fourth proportional to 4,578.68, 6,315.36 and 2,811.26 is: 3,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.68 : 6,315.36 = 2,811.26 : x
  2. Step 2: Convert to fraction form
    4,578.68/6,315.36 = 2,811.26/x
  3. Step 3: Cross multiply
    4,578.68x = 6,315.36 × 2,811.26
  4. Step 4: Simplify right side
    4,578.68x = 17,754,118.95
  5. Step 5: Solve for x
    x = 17,754,118.95/4,578.68
  6. Step 6: Final answer
    x = 3,877.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.