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Finding the Fourth Proportional to 5,104.32, 7,040.28 and 4,686

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Solution

The fourth proportional to 5,104.32, 7,040.28 and 4,686 is: 6,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.32 : 7,040.28 = 4,686 : x
  2. Step 2: Convert to fraction form
    5,104.32/7,040.28 = 4,686/x
  3. Step 3: Cross multiply
    5,104.32x = 7,040.28 × 4,686
  4. Step 4: Simplify right side
    5,104.32x = 32,990,752.08
  5. Step 5: Solve for x
    x = 32,990,752.08/5,104.32
  6. Step 6: Final answer
    x = 6,463.30

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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.