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Finding the Fourth Proportional to 4,572.74, 6,305.76 and 3,730.75

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Solution

The fourth proportional to 4,572.74, 6,305.76 and 3,730.75 is: 5,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.74 : 6,305.76 = 3,730.75 : x
  2. Step 2: Convert to fraction form
    4,572.74/6,305.76 = 3,730.75/x
  3. Step 3: Cross multiply
    4,572.74x = 6,305.76 × 3,730.75
  4. Step 4: Simplify right side
    4,572.74x = 23,525,198.36
  5. Step 5: Solve for x
    x = 23,525,198.36/4,572.74
  6. Step 6: Final answer
    x = 5,144.66

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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.