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Finding the Fourth Proportional to 4,597.56, 6,898.26 and 2,405.64

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Solution

The fourth proportional to 4,597.56, 6,898.26 and 2,405.64 is: 3,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.56 : 6,898.26 = 2,405.64 : x
  2. Step 2: Convert to fraction form
    4,597.56/6,898.26 = 2,405.64/x
  3. Step 3: Cross multiply
    4,597.56x = 6,898.26 × 2,405.64
  4. Step 4: Simplify right side
    4,597.56x = 16,594,730.19
  5. Step 5: Solve for x
    x = 16,594,730.19/4,597.56
  6. Step 6: Final answer
    x = 3,609.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.