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Finding the Fourth Proportional to 4,663.29, 6,993.49 and 1,542.60

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Solution

The fourth proportional to 4,663.29, 6,993.49 and 1,542.60 is: 2,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.29 : 6,993.49 = 1,542.60 : x
  2. Step 2: Convert to fraction form
    4,663.29/6,993.49 = 1,542.60/x
  3. Step 3: Cross multiply
    4,663.29x = 6,993.49 × 1,542.60
  4. Step 4: Simplify right side
    4,663.29x = 10,788,157.67
  5. Step 5: Solve for x
    x = 10,788,157.67/4,663.29
  6. Step 6: Final answer
    x = 2,313.42

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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.