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Finding the Fourth Proportional to 3,047.21, 4,570.81 and 738.71

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Solution

The fourth proportional to 3,047.21, 4,570.81 and 738.71 is: 1,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.21 : 4,570.81 = 738.71 : x
  2. Step 2: Convert to fraction form
    3,047.21/4,570.81 = 738.71/x
  3. Step 3: Cross multiply
    3,047.21x = 4,570.81 × 738.71
  4. Step 4: Simplify right side
    3,047.21x = 3,376,495.49
  5. Step 5: Solve for x
    x = 3,376,495.49/3,047.21
  6. Step 6: Final answer
    x = 1,108.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.