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Finding the Fourth Proportional to 4,516, 6,232.32 and 2,653.60

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Solution

The fourth proportional to 4,516, 6,232.32 and 2,653.60 is: 3,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516 : 6,232.32 = 2,653.60 : x
  2. Step 2: Convert to fraction form
    4,516/6,232.32 = 2,653.60/x
  3. Step 3: Cross multiply
    4,516x = 6,232.32 × 2,653.60
  4. Step 4: Simplify right side
    4,516x = 16,538,084.35
  5. Step 5: Solve for x
    x = 16,538,084.35/4,516
  6. Step 6: Final answer
    x = 3,662.11

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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.