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Finding the Fourth Proportional to 3,153.53, 4,342.47 and 3,083.60

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Solution

The fourth proportional to 3,153.53, 4,342.47 and 3,083.60 is: 4,246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.53 : 4,342.47 = 3,083.60 : x
  2. Step 2: Convert to fraction form
    3,153.53/4,342.47 = 3,083.60/x
  3. Step 3: Cross multiply
    3,153.53x = 4,342.47 × 3,083.60
  4. Step 4: Simplify right side
    3,153.53x = 13,390,418.78
  5. Step 5: Solve for x
    x = 13,390,418.78/3,153.53
  6. Step 6: Final answer
    x = 4,246.17

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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.