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Finding the Fourth Proportional to 4,707.63, 7,066.53 and 3,540.96

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Solution

The fourth proportional to 4,707.63, 7,066.53 and 3,540.96 is: 5,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.63 : 7,066.53 = 3,540.96 : x
  2. Step 2: Convert to fraction form
    4,707.63/7,066.53 = 3,540.96/x
  3. Step 3: Cross multiply
    4,707.63x = 7,066.53 × 3,540.96
  4. Step 4: Simplify right side
    4,707.63x = 25,022,300.07
  5. Step 5: Solve for x
    x = 25,022,300.07/4,707.63
  6. Step 6: Final answer
    x = 5,315.26

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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.