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Finding the Fourth Proportional to 4,596, 6,342.60 and 2,606.64

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Solution

The fourth proportional to 4,596, 6,342.60 and 2,606.64 is: 3,597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596 : 6,342.60 = 2,606.64 : x
  2. Step 2: Convert to fraction form
    4,596/6,342.60 = 2,606.64/x
  3. Step 3: Cross multiply
    4,596x = 6,342.60 × 2,606.64
  4. Step 4: Simplify right side
    4,596x = 16,532,874.86
  5. Step 5: Solve for x
    x = 16,532,874.86/4,596
  6. Step 6: Final answer
    x = 3,597.23

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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.