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Finding the Fourth Proportional to 5,140.59, 7,094.12 and 2,902.33

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Solution

The fourth proportional to 5,140.59, 7,094.12 and 2,902.33 is: 4,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.59 : 7,094.12 = 2,902.33 : x
  2. Step 2: Convert to fraction form
    5,140.59/7,094.12 = 2,902.33/x
  3. Step 3: Cross multiply
    5,140.59x = 7,094.12 × 2,902.33
  4. Step 4: Simplify right side
    5,140.59x = 20,589,477.30
  5. Step 5: Solve for x
    x = 20,589,477.30/5,140.59
  6. Step 6: Final answer
    x = 4,005.28

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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.