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Finding the Fourth Proportional to 5,745.84, 7,926.76 and 3,620.08

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Solution

The fourth proportional to 5,745.84, 7,926.76 and 3,620.08 is: 4,994.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.84 : 7,926.76 = 3,620.08 : x
  2. Step 2: Convert to fraction form
    5,745.84/7,926.76 = 3,620.08/x
  3. Step 3: Cross multiply
    5,745.84x = 7,926.76 × 3,620.08
  4. Step 4: Simplify right side
    5,745.84x = 28,695,505.34
  5. Step 5: Solve for x
    x = 28,695,505.34/5,745.84
  6. Step 6: Final answer
    x = 4,994.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.