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Finding the Fourth Proportional to 4,920.89, 6,784.50 and 3,506.18

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Solution

The fourth proportional to 4,920.89, 6,784.50 and 3,506.18 is: 4,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.89 : 6,784.50 = 3,506.18 : x
  2. Step 2: Convert to fraction form
    4,920.89/6,784.50 = 3,506.18/x
  3. Step 3: Cross multiply
    4,920.89x = 6,784.50 × 3,506.18
  4. Step 4: Simplify right side
    4,920.89x = 23,787,644.29
  5. Step 5: Solve for x
    x = 23,787,644.29/4,920.89
  6. Step 6: Final answer
    x = 4,834.02

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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.