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Finding the Fourth Proportional to 5,417.99, 8,128 and 1,719.23

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Solution

The fourth proportional to 5,417.99, 8,128 and 1,719.23 is: 2,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.99 : 8,128 = 1,719.23 : x
  2. Step 2: Convert to fraction form
    5,417.99/8,128 = 1,719.23/x
  3. Step 3: Cross multiply
    5,417.99x = 8,128 × 1,719.23
  4. Step 4: Simplify right side
    5,417.99x = 13,973,901.44
  5. Step 5: Solve for x
    x = 13,973,901.44/5,417.99
  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.