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Finding the Fourth Proportional to 4,596.16, 6,894.96 and 1,674.40

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Solution

The fourth proportional to 4,596.16, 6,894.96 and 1,674.40 is: 2,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.16 : 6,894.96 = 1,674.40 : x
  2. Step 2: Convert to fraction form
    4,596.16/6,894.96 = 1,674.40/x
  3. Step 3: Cross multiply
    4,596.16x = 6,894.96 × 1,674.40
  4. Step 4: Simplify right side
    4,596.16x = 11,544,921.02
  5. Step 5: Solve for x
    x = 11,544,921.02/4,596.16
  6. Step 6: Final answer
    x = 2,511.86

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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.