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Finding the Fourth Proportional to 5,792.80, 8,689.20 and 1,897.60

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Solution

The fourth proportional to 5,792.80, 8,689.20 and 1,897.60 is: 2,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.80 : 8,689.20 = 1,897.60 : x
  2. Step 2: Convert to fraction form
    5,792.80/8,689.20 = 1,897.60/x
  3. Step 3: Cross multiply
    5,792.80x = 8,689.20 × 1,897.60
  4. Step 4: Simplify right side
    5,792.80x = 16,488,625.92
  5. Step 5: Solve for x
    x = 16,488,625.92/5,792.80
  6. Step 6: Final answer
    x = 2,846.40

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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.