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Finding the Fourth Proportional to 3,795.03, 5,692.68 and 1,454.76

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Solution

The fourth proportional to 3,795.03, 5,692.68 and 1,454.76 is: 2,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.03 : 5,692.68 = 1,454.76 : x
  2. Step 2: Convert to fraction form
    3,795.03/5,692.68 = 1,454.76/x
  3. Step 3: Cross multiply
    3,795.03x = 5,692.68 × 1,454.76
  4. Step 4: Simplify right side
    3,795.03x = 8,281,483.16
  5. Step 5: Solve for x
    x = 8,281,483.16/3,795.03
  6. Step 6: Final answer
    x = 2,182.19

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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.