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Finding the Fourth Proportional to 5,130.44, 7,686.40 and 2,359.44

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Solution

The fourth proportional to 5,130.44, 7,686.40 and 2,359.44 is: 3,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.44 : 7,686.40 = 2,359.44 : x
  2. Step 2: Convert to fraction form
    5,130.44/7,686.40 = 2,359.44/x
  3. Step 3: Cross multiply
    5,130.44x = 7,686.40 × 2,359.44
  4. Step 4: Simplify right side
    5,130.44x = 18,135,599.62
  5. Step 5: Solve for x
    x = 18,135,599.62/5,130.44
  6. Step 6: Final answer
    x = 3,534.90

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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.