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Finding the Fourth Proportional to 4,738.50, 6,539.13 and 2,642.63

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Solution

The fourth proportional to 4,738.50, 6,539.13 and 2,642.63 is: 3,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.50 : 6,539.13 = 2,642.63 : x
  2. Step 2: Convert to fraction form
    4,738.50/6,539.13 = 2,642.63/x
  3. Step 3: Cross multiply
    4,738.50x = 6,539.13 × 2,642.63
  4. Step 4: Simplify right side
    4,738.50x = 17,280,468.42
  5. Step 5: Solve for x
    x = 17,280,468.42/4,738.50
  6. Step 6: Final answer
    x = 3,646.82

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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.