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Finding the Fourth Proportional to 3,692.99, 5,538.95 and 1,060.71

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Solution

The fourth proportional to 3,692.99, 5,538.95 and 1,060.71 is: 1,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.99 : 5,538.95 = 1,060.71 : x
  2. Step 2: Convert to fraction form
    3,692.99/5,538.95 = 1,060.71/x
  3. Step 3: Cross multiply
    3,692.99x = 5,538.95 × 1,060.71
  4. Step 4: Simplify right side
    3,692.99x = 5,875,214.35
  5. Step 5: Solve for x
    x = 5,875,214.35/3,692.99
  6. Step 6: Final answer
    x = 1,590.91

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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.