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Finding the Fourth Proportional to 5,215.46, 7,776.65 and 4,635.90

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Solution

The fourth proportional to 5,215.46, 7,776.65 and 4,635.90 is: 6,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.46 : 7,776.65 = 4,635.90 : x
  2. Step 2: Convert to fraction form
    5,215.46/7,776.65 = 4,635.90/x
  3. Step 3: Cross multiply
    5,215.46x = 7,776.65 × 4,635.90
  4. Step 4: Simplify right side
    5,215.46x = 36,051,783.32
  5. Step 5: Solve for x
    x = 36,051,783.32/5,215.46
  6. Step 6: Final answer
    x = 6,912.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.