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Finding the Fourth Proportional to 5,312.40, 7,963.96 and 2,537.68

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Solution

The fourth proportional to 5,312.40, 7,963.96 and 2,537.68 is: 3,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.40 : 7,963.96 = 2,537.68 : x
  2. Step 2: Convert to fraction form
    5,312.40/7,963.96 = 2,537.68/x
  3. Step 3: Cross multiply
    5,312.40x = 7,963.96 × 2,537.68
  4. Step 4: Simplify right side
    5,312.40x = 20,209,982.01
  5. Step 5: Solve for x
    x = 20,209,982.01/5,312.40
  6. Step 6: Final answer
    x = 3,804.30

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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.