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Finding the Fourth Proportional to 4,758.16, 7,137.24 and 1,295.92

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Solution

The fourth proportional to 4,758.16, 7,137.24 and 1,295.92 is: 1,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.16 : 7,137.24 = 1,295.92 : x
  2. Step 2: Convert to fraction form
    4,758.16/7,137.24 = 1,295.92/x
  3. Step 3: Cross multiply
    4,758.16x = 7,137.24 × 1,295.92
  4. Step 4: Simplify right side
    4,758.16x = 9,249,292.06
  5. Step 5: Solve for x
    x = 9,249,292.06/4,758.16
  6. Step 6: Final answer
    x = 1,943.88

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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.