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Finding the Fourth Proportional to 5,707.56, 8,514.64 and 5,548.80

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Solution

The fourth proportional to 5,707.56, 8,514.64 and 5,548.80 is: 8,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.56 : 8,514.64 = 5,548.80 : x
  2. Step 2: Convert to fraction form
    5,707.56/8,514.64 = 5,548.80/x
  3. Step 3: Cross multiply
    5,707.56x = 8,514.64 × 5,548.80
  4. Step 4: Simplify right side
    5,707.56x = 47,246,034.43
  5. Step 5: Solve for x
    x = 47,246,034.43/5,707.56
  6. Step 6: Final answer
    x = 8,277.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.