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Finding the Fourth Proportional to 5,849, 8,775.02 and 1,745

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Solution

The fourth proportional to 5,849, 8,775.02 and 1,745 is: 2,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849 : 8,775.02 = 1,745 : x
  2. Step 2: Convert to fraction form
    5,849/8,775.02 = 1,745/x
  3. Step 3: Cross multiply
    5,849x = 8,775.02 × 1,745
  4. Step 4: Simplify right side
    5,849x = 15,312,409.90
  5. Step 5: Solve for x
    x = 15,312,409.90/5,849
  6. Step 6: Final answer
    x = 2,617.95

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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.