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Finding the Fourth Proportional to 5,666.34, 8,493.30 and 2,381.52

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Solution

The fourth proportional to 5,666.34, 8,493.30 and 2,381.52 is: 3,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.34 : 8,493.30 = 2,381.52 : x
  2. Step 2: Convert to fraction form
    5,666.34/8,493.30 = 2,381.52/x
  3. Step 3: Cross multiply
    5,666.34x = 8,493.30 × 2,381.52
  4. Step 4: Simplify right side
    5,666.34x = 20,226,963.82
  5. Step 5: Solve for x
    x = 20,226,963.82/5,666.34
  6. Step 6: Final answer
    x = 3,569.67

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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.