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Finding the Fourth Proportional to 5,006.37, 7,509.56 and 1,719.44

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Solution

The fourth proportional to 5,006.37, 7,509.56 and 1,719.44 is: 2,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.37 : 7,509.56 = 1,719.44 : x
  2. Step 2: Convert to fraction form
    5,006.37/7,509.56 = 1,719.44/x
  3. Step 3: Cross multiply
    5,006.37x = 7,509.56 × 1,719.44
  4. Step 4: Simplify right side
    5,006.37x = 12,912,271.78
  5. Step 5: Solve for x
    x = 12,912,271.78/5,006.37
  6. Step 6: Final answer
    x = 2,579.17

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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.