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Finding the Fourth Proportional to 5,017.84, 7,533.84 and 3,162.94

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Solution

The fourth proportional to 5,017.84, 7,533.84 and 3,162.94 is: 4,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017.84 : 7,533.84 = 3,162.94 : x
  2. Step 2: Convert to fraction form
    5,017.84/7,533.84 = 3,162.94/x
  3. Step 3: Cross multiply
    5,017.84x = 7,533.84 × 3,162.94
  4. Step 4: Simplify right side
    5,017.84x = 23,829,083.89
  5. Step 5: Solve for x
    x = 23,829,083.89/5,017.84
  6. Step 6: Final answer
    x = 4,748.87

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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.