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Finding the Fourth Proportional to 4,692.03, 7,037.99 and 1,405.15

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Solution

The fourth proportional to 4,692.03, 7,037.99 and 1,405.15 is: 2,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.03 : 7,037.99 = 1,405.15 : x
  2. Step 2: Convert to fraction form
    4,692.03/7,037.99 = 1,405.15/x
  3. Step 3: Cross multiply
    4,692.03x = 7,037.99 × 1,405.15
  4. Step 4: Simplify right side
    4,692.03x = 9,889,412.30
  5. Step 5: Solve for x
    x = 9,889,412.30/4,692.03
  6. Step 6: Final answer
    x = 2,107.71

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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.