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Finding the Fourth Proportional to 4,771.60, 7,145.12 and 3,123.28

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Solution

The fourth proportional to 4,771.60, 7,145.12 and 3,123.28 is: 4,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.60 : 7,145.12 = 3,123.28 : x
  2. Step 2: Convert to fraction form
    4,771.60/7,145.12 = 3,123.28/x
  3. Step 3: Cross multiply
    4,771.60x = 7,145.12 × 3,123.28
  4. Step 4: Simplify right side
    4,771.60x = 22,316,210.39
  5. Step 5: Solve for x
    x = 22,316,210.39/4,771.60
  6. Step 6: Final answer
    x = 4,676.88

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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.