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Finding the Fourth Proportional to 4,632.59, 6,940.69 and 3,848.01

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Solution

The fourth proportional to 4,632.59, 6,940.69 and 3,848.01 is: 5,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.59 : 6,940.69 = 3,848.01 : x
  2. Step 2: Convert to fraction form
    4,632.59/6,940.69 = 3,848.01/x
  3. Step 3: Cross multiply
    4,632.59x = 6,940.69 × 3,848.01
  4. Step 4: Simplify right side
    4,632.59x = 26,707,808.88
  5. Step 5: Solve for x
    x = 26,707,808.88/4,632.59
  6. Step 6: Final answer
    x = 5,765.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.