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Finding the Fourth Proportional to 4,275.84, 5,900.32 and 2,412.96

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Solution

The fourth proportional to 4,275.84, 5,900.32 and 2,412.96 is: 3,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.84 : 5,900.32 = 2,412.96 : x
  2. Step 2: Convert to fraction form
    4,275.84/5,900.32 = 2,412.96/x
  3. Step 3: Cross multiply
    4,275.84x = 5,900.32 × 2,412.96
  4. Step 4: Simplify right side
    4,275.84x = 14,237,236.15
  5. Step 5: Solve for x
    x = 14,237,236.15/4,275.84
  6. Step 6: Final answer
    x = 3,329.69

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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.