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Finding the Fourth Proportional to 3,495.84, 4,823.46 and 2,552.14

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Solution

The fourth proportional to 3,495.84, 4,823.46 and 2,552.14 is: 3,521.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.84 : 4,823.46 = 2,552.14 : x
  2. Step 2: Convert to fraction form
    3,495.84/4,823.46 = 2,552.14/x
  3. Step 3: Cross multiply
    3,495.84x = 4,823.46 × 2,552.14
  4. Step 4: Simplify right side
    3,495.84x = 12,310,132.44
  5. Step 5: Solve for x
    x = 12,310,132.44/3,495.84
  6. Step 6: Final answer
    x = 3,521.37

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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.