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Finding the Fourth Proportional to 4,578.88, 6,312.96 and 3,738.76

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Solution

The fourth proportional to 4,578.88, 6,312.96 and 3,738.76 is: 5,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.88 : 6,312.96 = 3,738.76 : x
  2. Step 2: Convert to fraction form
    4,578.88/6,312.96 = 3,738.76/x
  3. Step 3: Cross multiply
    4,578.88x = 6,312.96 × 3,738.76
  4. Step 4: Simplify right side
    4,578.88x = 23,602,642.33
  5. Step 5: Solve for x
    x = 23,602,642.33/4,578.88
  6. Step 6: Final answer
    x = 5,154.68

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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.