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Finding the Fourth Proportional to 6,458.04, 8,912.16 and 3,663

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Solution

The fourth proportional to 6,458.04, 8,912.16 and 3,663 is: 5,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.04 : 8,912.16 = 3,663 : x
  2. Step 2: Convert to fraction form
    6,458.04/8,912.16 = 3,663/x
  3. Step 3: Cross multiply
    6,458.04x = 8,912.16 × 3,663
  4. Step 4: Simplify right side
    6,458.04x = 32,645,242.08
  5. Step 5: Solve for x
    x = 32,645,242.08/6,458.04
  6. Step 6: Final answer
    x = 5,054.98

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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.