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Finding the Fourth Proportional to 5,140.34, 7,093.90 and 2,902.24

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Solution

The fourth proportional to 5,140.34, 7,093.90 and 2,902.24 is: 4,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.34 : 7,093.90 = 2,902.24 : x
  2. Step 2: Convert to fraction form
    5,140.34/7,093.90 = 2,902.24/x
  3. Step 3: Cross multiply
    5,140.34x = 7,093.90 × 2,902.24
  4. Step 4: Simplify right side
    5,140.34x = 20,588,186.23
  5. Step 5: Solve for x
    x = 20,588,186.23/5,140.34
  6. Step 6: Final answer
    x = 4,005.22

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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.