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Finding the Fourth Proportional to 5,114.94, 7,028.02 and 4,065.18

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Solution

The fourth proportional to 5,114.94, 7,028.02 and 4,065.18 is: 5,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.94 : 7,028.02 = 4,065.18 : x
  2. Step 2: Convert to fraction form
    5,114.94/7,028.02 = 4,065.18/x
  3. Step 3: Cross multiply
    5,114.94x = 7,028.02 × 4,065.18
  4. Step 4: Simplify right side
    5,114.94x = 28,570,166.34
  5. Step 5: Solve for x
    x = 28,570,166.34/5,114.94
  6. Step 6: Final answer
    x = 5,585.63

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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.