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Finding the Fourth Proportional to 5,145.16, 7,706.97 and 4,265.58

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Solution

The fourth proportional to 5,145.16, 7,706.97 and 4,265.58 is: 6,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.16 : 7,706.97 = 4,265.58 : x
  2. Step 2: Convert to fraction form
    5,145.16/7,706.97 = 4,265.58/x
  3. Step 3: Cross multiply
    5,145.16x = 7,706.97 × 4,265.58
  4. Step 4: Simplify right side
    5,145.16x = 32,874,697.09
  5. Step 5: Solve for x
    x = 32,874,697.09/5,145.16
  6. Step 6: Final answer
    x = 6,389.44

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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.