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Finding the Fourth Proportional to 3,509.68, 4,839.72 and 2,920

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Solution

The fourth proportional to 3,509.68, 4,839.72 and 2,920 is: 4,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.68 : 4,839.72 = 2,920 : x
  2. Step 2: Convert to fraction form
    3,509.68/4,839.72 = 2,920/x
  3. Step 3: Cross multiply
    3,509.68x = 4,839.72 × 2,920
  4. Step 4: Simplify right side
    3,509.68x = 14,131,982.40
  5. Step 5: Solve for x
    x = 14,131,982.40/3,509.68
  6. Step 6: Final answer
    x = 4,026.57

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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.