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Finding the Fourth Proportional to 4,641.34, 6,405.08 and 2,516.92

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Solution

The fourth proportional to 4,641.34, 6,405.08 and 2,516.92 is: 3,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.34 : 6,405.08 = 2,516.92 : x
  2. Step 2: Convert to fraction form
    4,641.34/6,405.08 = 2,516.92/x
  3. Step 3: Cross multiply
    4,641.34x = 6,405.08 × 2,516.92
  4. Step 4: Simplify right side
    4,641.34x = 16,121,073.95
  5. Step 5: Solve for x
    x = 16,121,073.95/4,641.34
  6. Step 6: Final answer
    x = 3,473.37

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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.