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Finding the Fourth Proportional to 4,274.68, 5,897.52 and 2,596.78

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Solution

The fourth proportional to 4,274.68, 5,897.52 and 2,596.78 is: 3,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.68 : 5,897.52 = 2,596.78 : x
  2. Step 2: Convert to fraction form
    4,274.68/5,897.52 = 2,596.78/x
  3. Step 3: Cross multiply
    4,274.68x = 5,897.52 × 2,596.78
  4. Step 4: Simplify right side
    4,274.68x = 15,314,561.99
  5. Step 5: Solve for x
    x = 15,314,561.99/4,274.68
  6. Step 6: Final answer
    x = 3,582.62

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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.