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Finding the Fourth Proportional to 4,275.84, 5,899.60 and 2,412.80

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Solution

The fourth proportional to 4,275.84, 5,899.60 and 2,412.80 is: 3,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.84 : 5,899.60 = 2,412.80 : x
  2. Step 2: Convert to fraction form
    4,275.84/5,899.60 = 2,412.80/x
  3. Step 3: Cross multiply
    4,275.84x = 5,899.60 × 2,412.80
  4. Step 4: Simplify right side
    4,275.84x = 14,234,554.88
  5. Step 5: Solve for x
    x = 14,234,554.88/4,275.84
  6. Step 6: Final answer
    x = 3,329.07

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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.