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Finding the Fourth Proportional to 4,612.04, 6,364.64 and 2,516.21

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Solution

The fourth proportional to 4,612.04, 6,364.64 and 2,516.21 is: 3,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.04 : 6,364.64 = 2,516.21 : x
  2. Step 2: Convert to fraction form
    4,612.04/6,364.64 = 2,516.21/x
  3. Step 3: Cross multiply
    4,612.04x = 6,364.64 × 2,516.21
  4. Step 4: Simplify right side
    4,612.04x = 16,014,758.23
  5. Step 5: Solve for x
    x = 16,014,758.23/4,612.04
  6. Step 6: Final answer
    x = 3,472.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.