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Finding the Fourth Proportional to 4,712.67, 7,068.18 and 1,424.97

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Solution

The fourth proportional to 4,712.67, 7,068.18 and 1,424.97 is: 2,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.67 : 7,068.18 = 1,424.97 : x
  2. Step 2: Convert to fraction form
    4,712.67/7,068.18 = 1,424.97/x
  3. Step 3: Cross multiply
    4,712.67x = 7,068.18 × 1,424.97
  4. Step 4: Simplify right side
    4,712.67x = 10,071,944.45
  5. Step 5: Solve for x
    x = 10,071,944.45/4,712.67
  6. Step 6: Final answer
    x = 2,137.21

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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.