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Finding the Fourth Proportional to 4,758.57, 7,137.45 and 1,295.82

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Solution

The fourth proportional to 4,758.57, 7,137.45 and 1,295.82 is: 1,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.57 : 7,137.45 = 1,295.82 : x
  2. Step 2: Convert to fraction form
    4,758.57/7,137.45 = 1,295.82/x
  3. Step 3: Cross multiply
    4,758.57x = 7,137.45 × 1,295.82
  4. Step 4: Simplify right side
    4,758.57x = 9,248,850.46
  5. Step 5: Solve for x
    x = 9,248,850.46/4,758.57
  6. Step 6: Final answer
    x = 1,943.62

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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.