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Finding the Fourth Proportional to 3,780.92, 5,668.32 and 1,699.40

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Solution

The fourth proportional to 3,780.92, 5,668.32 and 1,699.40 is: 2,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.92 : 5,668.32 = 1,699.40 : x
  2. Step 2: Convert to fraction form
    3,780.92/5,668.32 = 1,699.40/x
  3. Step 3: Cross multiply
    3,780.92x = 5,668.32 × 1,699.40
  4. Step 4: Simplify right side
    3,780.92x = 9,632,743.01
  5. Step 5: Solve for x
    x = 9,632,743.01/3,780.92
  6. Step 6: Final answer
    x = 2,547.72

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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.