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Finding the Fourth Proportional to 5,668.25, 8,502.57 and 1,775.39

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Solution

The fourth proportional to 5,668.25, 8,502.57 and 1,775.39 is: 2,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.25 : 8,502.57 = 1,775.39 : x
  2. Step 2: Convert to fraction form
    5,668.25/8,502.57 = 1,775.39/x
  3. Step 3: Cross multiply
    5,668.25x = 8,502.57 × 1,775.39
  4. Step 4: Simplify right side
    5,668.25x = 15,095,335.24
  5. Step 5: Solve for x
    x = 15,095,335.24/5,668.25
  6. Step 6: Final answer
    x = 2,663.14

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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.