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Finding the Fourth Proportional to 4,691.94, 6,475.06 and 2,596.02

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Solution

The fourth proportional to 4,691.94, 6,475.06 and 2,596.02 is: 3,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.94 : 6,475.06 = 2,596.02 : x
  2. Step 2: Convert to fraction form
    4,691.94/6,475.06 = 2,596.02/x
  3. Step 3: Cross multiply
    4,691.94x = 6,475.06 × 2,596.02
  4. Step 4: Simplify right side
    4,691.94x = 16,809,385.26
  5. Step 5: Solve for x
    x = 16,809,385.26/4,691.94
  6. Step 6: Final answer
    x = 3,582.61

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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.