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Finding the Fourth Proportional to 3,692.89, 5,538.93 and 1,095.63

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Solution

The fourth proportional to 3,692.89, 5,538.93 and 1,095.63 is: 1,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.89 : 5,538.93 = 1,095.63 : x
  2. Step 2: Convert to fraction form
    3,692.89/5,538.93 = 1,095.63/x
  3. Step 3: Cross multiply
    3,692.89x = 5,538.93 × 1,095.63
  4. Step 4: Simplify right side
    3,692.89x = 6,068,617.88
  5. Step 5: Solve for x
    x = 6,068,617.88/3,692.89
  6. Step 6: Final answer
    x = 1,643.32

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1.5x scale

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.