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Finding the Fourth Proportional to 6,031.78, 9,047.38 and 1,589.34

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Solution

The fourth proportional to 6,031.78, 9,047.38 and 1,589.34 is: 2,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.78 : 9,047.38 = 1,589.34 : x
  2. Step 2: Convert to fraction form
    6,031.78/9,047.38 = 1,589.34/x
  3. Step 3: Cross multiply
    6,031.78x = 9,047.38 × 1,589.34
  4. Step 4: Simplify right side
    6,031.78x = 14,379,362.93
  5. Step 5: Solve for x
    x = 14,379,362.93/6,031.78
  6. Step 6: Final answer
    x = 2,383.93

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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.