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Finding the Fourth Proportional to 3,735.57, 5,587.96 and 3,069.95

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Solution

The fourth proportional to 3,735.57, 5,587.96 and 3,069.95 is: 4,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.57 : 5,587.96 = 3,069.95 : x
  2. Step 2: Convert to fraction form
    3,735.57/5,587.96 = 3,069.95/x
  3. Step 3: Cross multiply
    3,735.57x = 5,587.96 × 3,069.95
  4. Step 4: Simplify right side
    3,735.57x = 17,154,768.01
  5. Step 5: Solve for x
    x = 17,154,768.01/3,735.57
  6. Step 6: Final answer
    x = 4,592.28

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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.