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Finding the Fourth Proportional to 5,718.61, 8,577.81 and 1,822.96

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Solution

The fourth proportional to 5,718.61, 8,577.81 and 1,822.96 is: 2,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.61 : 8,577.81 = 1,822.96 : x
  2. Step 2: Convert to fraction form
    5,718.61/8,577.81 = 1,822.96/x
  3. Step 3: Cross multiply
    5,718.61x = 8,577.81 × 1,822.96
  4. Step 4: Simplify right side
    5,718.61x = 15,637,004.52
  5. Step 5: Solve for x
    x = 15,637,004.52/5,718.61
  6. Step 6: Final answer
    x = 2,734.41

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Why These Related Problems?

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