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Finding the Fourth Proportional to 5,302.85, 7,954.28 and 1,792.86

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Solution

The fourth proportional to 5,302.85, 7,954.28 and 1,792.86 is: 2,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.85 : 7,954.28 = 1,792.86 : x
  2. Step 2: Convert to fraction form
    5,302.85/7,954.28 = 1,792.86/x
  3. Step 3: Cross multiply
    5,302.85x = 7,954.28 × 1,792.86
  4. Step 4: Simplify right side
    5,302.85x = 14,260,901.48
  5. Step 5: Solve for x
    x = 14,260,901.48/5,302.85
  6. Step 6: Final answer
    x = 2,689.29

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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.