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Finding the Fourth Proportional to 4,066.64, 6,099.74 and 1,434.27

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Solution

The fourth proportional to 4,066.64, 6,099.74 and 1,434.27 is: 2,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.64 : 6,099.74 = 1,434.27 : x
  2. Step 2: Convert to fraction form
    4,066.64/6,099.74 = 1,434.27/x
  3. Step 3: Cross multiply
    4,066.64x = 6,099.74 × 1,434.27
  4. Step 4: Simplify right side
    4,066.64x = 8,748,695.17
  5. Step 5: Solve for x
    x = 8,748,695.17/4,066.64
  6. Step 6: Final answer
    x = 2,151.33

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