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Finding the Fourth Proportional to 4,676.28, 6,455.58 and 3,666.21

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Solution

The fourth proportional to 4,676.28, 6,455.58 and 3,666.21 is: 5,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.28 : 6,455.58 = 3,666.21 : x
  2. Step 2: Convert to fraction form
    4,676.28/6,455.58 = 3,666.21/x
  3. Step 3: Cross multiply
    4,676.28x = 6,455.58 × 3,666.21
  4. Step 4: Simplify right side
    4,676.28x = 23,667,461.34
  5. Step 5: Solve for x
    x = 23,667,461.34/4,676.28
  6. Step 6: Final answer
    x = 5,061.18

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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.