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Finding the Fourth Proportional to 5,662.47, 8,493.70 and 3,714.22

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Solution

The fourth proportional to 5,662.47, 8,493.70 and 3,714.22 is: 5,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.47 : 8,493.70 = 3,714.22 : x
  2. Step 2: Convert to fraction form
    5,662.47/8,493.70 = 3,714.22/x
  3. Step 3: Cross multiply
    5,662.47x = 8,493.70 × 3,714.22
  4. Step 4: Simplify right side
    5,662.47x = 31,547,409.37
  5. Step 5: Solve for x
    x = 31,547,409.37/5,662.47
  6. Step 6: Final answer
    x = 5,571.32

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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.