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Finding the Fourth Proportional to 5,736.35, 8,602.81 and 2,038.10

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Solution

The fourth proportional to 5,736.35, 8,602.81 and 2,038.10 is: 3,056.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.35 : 8,602.81 = 2,038.10 : x
  2. Step 2: Convert to fraction form
    5,736.35/8,602.81 = 2,038.10/x
  3. Step 3: Cross multiply
    5,736.35x = 8,602.81 × 2,038.10
  4. Step 4: Simplify right side
    5,736.35x = 17,533,338.95
  5. Step 5: Solve for x
    x = 17,533,338.95/5,736.35
  6. Step 6: Final answer
    x = 3,056.53

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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.