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Finding the Fourth Proportional to 5,673.34, 8,507.42 and 2,384.63

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Solution

The fourth proportional to 5,673.34, 8,507.42 and 2,384.63 is: 3,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.34 : 8,507.42 = 2,384.63 : x
  2. Step 2: Convert to fraction form
    5,673.34/8,507.42 = 2,384.63/x
  3. Step 3: Cross multiply
    5,673.34x = 8,507.42 × 2,384.63
  4. Step 4: Simplify right side
    5,673.34x = 20,287,058.30
  5. Step 5: Solve for x
    x = 20,287,058.30/5,673.34
  6. Step 6: Final answer
    x = 3,575.86

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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.