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Finding the Fourth Proportional to 4,588.34, 6,885.23 and 1,666.87

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Solution

The fourth proportional to 4,588.34, 6,885.23 and 1,666.87 is: 2,501.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.34 : 6,885.23 = 1,666.87 : x
  2. Step 2: Convert to fraction form
    4,588.34/6,885.23 = 1,666.87/x
  3. Step 3: Cross multiply
    4,588.34x = 6,885.23 × 1,666.87
  4. Step 4: Simplify right side
    4,588.34x = 11,476,757.78
  5. Step 5: Solve for x
    x = 11,476,757.78/4,588.34
  6. Step 6: Final answer
    x = 2,501.29

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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.