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Finding the Fourth Proportional to 5,706.21, 7,875.12 and 3,467.58

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Solution

The fourth proportional to 5,706.21, 7,875.12 and 3,467.58 is: 4,785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.21 : 7,875.12 = 3,467.58 : x
  2. Step 2: Convert to fraction form
    5,706.21/7,875.12 = 3,467.58/x
  3. Step 3: Cross multiply
    5,706.21x = 7,875.12 × 3,467.58
  4. Step 4: Simplify right side
    5,706.21x = 27,307,608.61
  5. Step 5: Solve for x
    x = 27,307,608.61/5,706.21
  6. Step 6: Final answer
    x = 4,785.59

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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.