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Finding the Fourth Proportional to 3,714.19, 5,571.29 and 1,405.69

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Solution

The fourth proportional to 3,714.19, 5,571.29 and 1,405.69 is: 2,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.19 : 5,571.29 = 1,405.69 : x
  2. Step 2: Convert to fraction form
    3,714.19/5,571.29 = 1,405.69/x
  3. Step 3: Cross multiply
    3,714.19x = 5,571.29 × 1,405.69
  4. Step 4: Simplify right side
    3,714.19x = 7,831,496.23
  5. Step 5: Solve for x
    x = 7,831,496.23/3,714.19
  6. Step 6: Final answer
    x = 2,108.54

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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.