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Finding the Fourth Proportional to 3,136.53, 4,308.54 and 2,978.58

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Solution

The fourth proportional to 3,136.53, 4,308.54 and 2,978.58 is: 4,091.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.53 : 4,308.54 = 2,978.58 : x
  2. Step 2: Convert to fraction form
    3,136.53/4,308.54 = 2,978.58/x
  3. Step 3: Cross multiply
    3,136.53x = 4,308.54 × 2,978.58
  4. Step 4: Simplify right side
    3,136.53x = 12,833,331.07
  5. Step 5: Solve for x
    x = 12,833,331.07/3,136.53
  6. Step 6: Final answer
    x = 4,091.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.