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Finding the Fourth Proportional to 5,719.51, 8,577.44 and 1,823

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Solution

The fourth proportional to 5,719.51, 8,577.44 and 1,823 is: 2,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.51 : 8,577.44 = 1,823 : x
  2. Step 2: Convert to fraction form
    5,719.51/8,577.44 = 1,823/x
  3. Step 3: Cross multiply
    5,719.51x = 8,577.44 × 1,823
  4. Step 4: Simplify right side
    5,719.51x = 15,636,664.01
  5. Step 5: Solve for x
    x = 15,636,664.01/5,719.51
  6. Step 6: Final answer
    x = 2,733.92

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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.