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Finding the Fourth Proportional to 4,802.32, 6,627.12 and 2,706.44

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Solution

The fourth proportional to 4,802.32, 6,627.12 and 2,706.44 is: 3,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.32 : 6,627.12 = 2,706.44 : x
  2. Step 2: Convert to fraction form
    4,802.32/6,627.12 = 2,706.44/x
  3. Step 3: Cross multiply
    4,802.32x = 6,627.12 × 2,706.44
  4. Step 4: Simplify right side
    4,802.32x = 17,935,902.65
  5. Step 5: Solve for x
    x = 17,935,902.65/4,802.32
  6. Step 6: Final answer
    x = 3,734.84

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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.