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Finding the Fourth Proportional to 4,861.47, 7,290.37 and 1,573.68

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Solution

The fourth proportional to 4,861.47, 7,290.37 and 1,573.68 is: 2,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.47 : 7,290.37 = 1,573.68 : x
  2. Step 2: Convert to fraction form
    4,861.47/7,290.37 = 1,573.68/x
  3. Step 3: Cross multiply
    4,861.47x = 7,290.37 × 1,573.68
  4. Step 4: Simplify right side
    4,861.47x = 11,472,709.46
  5. Step 5: Solve for x
    x = 11,472,709.46/4,861.47
  6. Step 6: Final answer
    x = 2,359.93

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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.