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Finding the Fourth Proportional to 5,610.24, 8,416.80 and 1,714.64

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Solution

The fourth proportional to 5,610.24, 8,416.80 and 1,714.64 is: 2,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.24 : 8,416.80 = 1,714.64 : x
  2. Step 2: Convert to fraction form
    5,610.24/8,416.80 = 1,714.64/x
  3. Step 3: Cross multiply
    5,610.24x = 8,416.80 × 1,714.64
  4. Step 4: Simplify right side
    5,610.24x = 14,431,739.87
  5. Step 5: Solve for x
    x = 14,431,739.87/5,610.24
  6. Step 6: Final answer
    x = 2,572.39

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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.