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Finding the Fourth Proportional to 5,102.42, 7,040.90 and 3,113.60

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Solution

The fourth proportional to 5,102.42, 7,040.90 and 3,113.60 is: 4,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.42 : 7,040.90 = 3,113.60 : x
  2. Step 2: Convert to fraction form
    5,102.42/7,040.90 = 3,113.60/x
  3. Step 3: Cross multiply
    5,102.42x = 7,040.90 × 3,113.60
  4. Step 4: Simplify right side
    5,102.42x = 21,922,495.47
  5. Step 5: Solve for x
    x = 21,922,495.47/5,102.42
  6. Step 6: Final answer
    x = 4,296.49

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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.