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Finding the Fourth Proportional to 4,330.76, 6,462.14 and 4,066.26

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Solution

The fourth proportional to 4,330.76, 6,462.14 and 4,066.26 is: 6,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.76 : 6,462.14 = 4,066.26 : x
  2. Step 2: Convert to fraction form
    4,330.76/6,462.14 = 4,066.26/x
  3. Step 3: Cross multiply
    4,330.76x = 6,462.14 × 4,066.26
  4. Step 4: Simplify right side
    4,330.76x = 26,276,741.40
  5. Step 5: Solve for x
    x = 26,276,741.40/4,330.76
  6. Step 6: Final answer
    x = 6,067.47

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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.