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Finding the Fourth Proportional to 5,894.36, 8,841.48 and 1,511.80

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Solution

The fourth proportional to 5,894.36, 8,841.48 and 1,511.80 is: 2,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.36 : 8,841.48 = 1,511.80 : x
  2. Step 2: Convert to fraction form
    5,894.36/8,841.48 = 1,511.80/x
  3. Step 3: Cross multiply
    5,894.36x = 8,841.48 × 1,511.80
  4. Step 4: Simplify right side
    5,894.36x = 13,366,549.46
  5. Step 5: Solve for x
    x = 13,366,549.46/5,894.36
  6. Step 6: Final answer
    x = 2,267.68

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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.