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Finding the Fourth Proportional to 4,544.76, 6,817.23 and 1,424.70

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Solution

The fourth proportional to 4,544.76, 6,817.23 and 1,424.70 is: 2,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.76 : 6,817.23 = 1,424.70 : x
  2. Step 2: Convert to fraction form
    4,544.76/6,817.23 = 1,424.70/x
  3. Step 3: Cross multiply
    4,544.76x = 6,817.23 × 1,424.70
  4. Step 4: Simplify right side
    4,544.76x = 9,712,507.58
  5. Step 5: Solve for x
    x = 9,712,507.58/4,544.76
  6. Step 6: Final answer
    x = 2,137.08

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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.