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Finding the Fourth Proportional to 5,130.20, 7,675.80 and 3,402.20

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Solution

The fourth proportional to 5,130.20, 7,675.80 and 3,402.20 is: 5,090.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.20 : 7,675.80 = 3,402.20 : x
  2. Step 2: Convert to fraction form
    5,130.20/7,675.80 = 3,402.20/x
  3. Step 3: Cross multiply
    5,130.20x = 7,675.80 × 3,402.20
  4. Step 4: Simplify right side
    5,130.20x = 26,114,606.76
  5. Step 5: Solve for x
    x = 26,114,606.76/5,130.20
  6. Step 6: Final answer
    x = 5,090.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.