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Finding the Fourth Proportional to 4,275.35, 5,898.35 and 2,596.12

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Solution

The fourth proportional to 4,275.35, 5,898.35 and 2,596.12 is: 3,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.35 : 5,898.35 = 2,596.12 : x
  2. Step 2: Convert to fraction form
    4,275.35/5,898.35 = 2,596.12/x
  3. Step 3: Cross multiply
    4,275.35x = 5,898.35 × 2,596.12
  4. Step 4: Simplify right side
    4,275.35x = 15,312,816.15
  5. Step 5: Solve for x
    x = 15,312,816.15/4,275.35
  6. Step 6: Final answer
    x = 3,581.66

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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.