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Finding the Fourth Proportional to 4,641.42, 6,405.12 and 2,516.95

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Solution

The fourth proportional to 4,641.42, 6,405.12 and 2,516.95 is: 3,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.42 : 6,405.12 = 2,516.95 : x
  2. Step 2: Convert to fraction form
    4,641.42/6,405.12 = 2,516.95/x
  3. Step 3: Cross multiply
    4,641.42x = 6,405.12 × 2,516.95
  4. Step 4: Simplify right side
    4,641.42x = 16,121,366.78
  5. Step 5: Solve for x
    x = 16,121,366.78/4,641.42
  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.