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Finding the Fourth Proportional to 4,771.47, 7,158.12 and 1,484.45

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Solution

The fourth proportional to 4,771.47, 7,158.12 and 1,484.45 is: 2,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.47 : 7,158.12 = 1,484.45 : x
  2. Step 2: Convert to fraction form
    4,771.47/7,158.12 = 1,484.45/x
  3. Step 3: Cross multiply
    4,771.47x = 7,158.12 × 1,484.45
  4. Step 4: Simplify right side
    4,771.47x = 10,625,835.44
  5. Step 5: Solve for x
    x = 10,625,835.44/4,771.47
  6. Step 6: Final answer
    x = 2,226.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.