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Finding the Fourth Proportional to 4,692.87, 7,038.77 and 1,182.87

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Solution

The fourth proportional to 4,692.87, 7,038.77 and 1,182.87 is: 1,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.87 : 7,038.77 = 1,182.87 : x
  2. Step 2: Convert to fraction form
    4,692.87/7,038.77 = 1,182.87/x
  3. Step 3: Cross multiply
    4,692.87x = 7,038.77 × 1,182.87
  4. Step 4: Simplify right side
    4,692.87x = 8,325,949.87
  5. Step 5: Solve for x
    x = 8,325,949.87/4,692.87
  6. Step 6: Final answer
    x = 1,774.17

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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.