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Finding the Fourth Proportional to 4,288.96, 5,918.76 and 2,425.96

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Solution

The fourth proportional to 4,288.96, 5,918.76 and 2,425.96 is: 3,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.96 : 5,918.76 = 2,425.96 : x
  2. Step 2: Convert to fraction form
    4,288.96/5,918.76 = 2,425.96/x
  3. Step 3: Cross multiply
    4,288.96x = 5,918.76 × 2,425.96
  4. Step 4: Simplify right side
    4,288.96x = 14,358,675.01
  5. Step 5: Solve for x
    x = 14,358,675.01/4,288.96
  6. Step 6: Final answer
    x = 3,347.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.