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Finding the Fourth Proportional to 5,734.36, 8,602.08 and 1,837.84

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Solution

The fourth proportional to 5,734.36, 8,602.08 and 1,837.84 is: 2,756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.36 : 8,602.08 = 1,837.84 : x
  2. Step 2: Convert to fraction form
    5,734.36/8,602.08 = 1,837.84/x
  3. Step 3: Cross multiply
    5,734.36x = 8,602.08 × 1,837.84
  4. Step 4: Simplify right side
    5,734.36x = 15,809,246.71
  5. Step 5: Solve for x
    x = 15,809,246.71/5,734.36
  6. Step 6: Final answer
    x = 2,756.93

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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.