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Finding the Fourth Proportional to 5,926.50, 8,178.84 and 4,745.52

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Solution

The fourth proportional to 5,926.50, 8,178.84 and 4,745.52 is: 6,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.50 : 8,178.84 = 4,745.52 : x
  2. Step 2: Convert to fraction form
    5,926.50/8,178.84 = 4,745.52/x
  3. Step 3: Cross multiply
    5,926.50x = 8,178.84 × 4,745.52
  4. Step 4: Simplify right side
    5,926.50x = 38,812,848.80
  5. Step 5: Solve for x
    x = 38,812,848.80/5,926.50
  6. Step 6: Final answer
    x = 6,549.03

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