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Finding the Fourth Proportional to 4,757.84, 7,137.12 and 1,295.36

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Solution

The fourth proportional to 4,757.84, 7,137.12 and 1,295.36 is: 1,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.84 : 7,137.12 = 1,295.36 : x
  2. Step 2: Convert to fraction form
    4,757.84/7,137.12 = 1,295.36/x
  3. Step 3: Cross multiply
    4,757.84x = 7,137.12 × 1,295.36
  4. Step 4: Simplify right side
    4,757.84x = 9,245,139.76
  5. Step 5: Solve for x
    x = 9,245,139.76/4,757.84
  6. Step 6: Final answer
    x = 1,943.14

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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.