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Finding the Fourth Proportional to 4,348.84, 6,520.02 and 2,617.06

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Solution

The fourth proportional to 4,348.84, 6,520.02 and 2,617.06 is: 3,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.84 : 6,520.02 = 2,617.06 : x
  2. Step 2: Convert to fraction form
    4,348.84/6,520.02 = 2,617.06/x
  3. Step 3: Cross multiply
    4,348.84x = 6,520.02 × 2,617.06
  4. Step 4: Simplify right side
    4,348.84x = 17,063,283.54
  5. Step 5: Solve for x
    x = 17,063,283.54/4,348.84
  6. Step 6: Final answer
    x = 3,923.64

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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.