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Finding the Fourth Proportional to 5,718.04, 8,577.10 and 1,822.60

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Solution

The fourth proportional to 5,718.04, 8,577.10 and 1,822.60 is: 2,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.04 : 8,577.10 = 1,822.60 : x
  2. Step 2: Convert to fraction form
    5,718.04/8,577.10 = 1,822.60/x
  3. Step 3: Cross multiply
    5,718.04x = 8,577.10 × 1,822.60
  4. Step 4: Simplify right side
    5,718.04x = 15,632,622.46
  5. Step 5: Solve for x
    x = 15,632,622.46/5,718.04
  6. Step 6: Final answer
    x = 2,733.91

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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.