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Finding the Fourth Proportional to 3,508.66, 5,262.42 and 1,428.58

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Solution

The fourth proportional to 3,508.66, 5,262.42 and 1,428.58 is: 2,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.66 : 5,262.42 = 1,428.58 : x
  2. Step 2: Convert to fraction form
    3,508.66/5,262.42 = 1,428.58/x
  3. Step 3: Cross multiply
    3,508.66x = 5,262.42 × 1,428.58
  4. Step 4: Simplify right side
    3,508.66x = 7,517,774.81
  5. Step 5: Solve for x
    x = 7,517,774.81/3,508.66
  6. Step 6: Final answer
    x = 2,142.64

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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.