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Finding the Fourth Proportional to 4,275.78, 5,898.96 and 2,596.56

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Solution

The fourth proportional to 4,275.78, 5,898.96 and 2,596.56 is: 3,582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.78 : 5,898.96 = 2,596.56 : x
  2. Step 2: Convert to fraction form
    4,275.78/5,898.96 = 2,596.56/x
  3. Step 3: Cross multiply
    4,275.78x = 5,898.96 × 2,596.56
  4. Step 4: Simplify right side
    4,275.78x = 15,316,961.10
  5. Step 5: Solve for x
    x = 15,316,961.10/4,275.78
  6. Step 6: Final answer
    x = 3,582.26

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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.