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Finding the Fourth Proportional to 5,895.69, 8,841.65 and 1,946.21

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Solution

The fourth proportional to 5,895.69, 8,841.65 and 1,946.21 is: 2,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.69 : 8,841.65 = 1,946.21 : x
  2. Step 2: Convert to fraction form
    5,895.69/8,841.65 = 1,946.21/x
  3. Step 3: Cross multiply
    5,895.69x = 8,841.65 × 1,946.21
  4. Step 4: Simplify right side
    5,895.69x = 17,207,707.65
  5. Step 5: Solve for x
    x = 17,207,707.65/5,895.69
  6. Step 6: Final answer
    x = 2,918.69

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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.