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Finding the Fourth Proportional to 5,294.13, 7,941.50 and 1,596.87

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Solution

The fourth proportional to 5,294.13, 7,941.50 and 1,596.87 is: 2,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.13 : 7,941.50 = 1,596.87 : x
  2. Step 2: Convert to fraction form
    5,294.13/7,941.50 = 1,596.87/x
  3. Step 3: Cross multiply
    5,294.13x = 7,941.50 × 1,596.87
  4. Step 4: Simplify right side
    5,294.13x = 12,681,535.12
  5. Step 5: Solve for x
    x = 12,681,535.12/5,294.13
  6. Step 6: Final answer
    x = 2,395.40

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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.