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Finding the Fourth Proportional to 4,736.41, 6,534.24 and 2,746.24

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Solution

The fourth proportional to 4,736.41, 6,534.24 and 2,746.24 is: 3,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.41 : 6,534.24 = 2,746.24 : x
  2. Step 2: Convert to fraction form
    4,736.41/6,534.24 = 2,746.24/x
  3. Step 3: Cross multiply
    4,736.41x = 6,534.24 × 2,746.24
  4. Step 4: Simplify right side
    4,736.41x = 17,944,591.26
  5. Step 5: Solve for x
    x = 17,944,591.26/4,736.41
  6. Step 6: Final answer
    x = 3,788.65

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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.