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Finding the Fourth Proportional to 3,714.46, 5,564.46 and 2,066.01

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Solution

The fourth proportional to 3,714.46, 5,564.46 and 2,066.01 is: 3,094.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.46 : 5,564.46 = 2,066.01 : x
  2. Step 2: Convert to fraction form
    3,714.46/5,564.46 = 2,066.01/x
  3. Step 3: Cross multiply
    3,714.46x = 5,564.46 × 2,066.01
  4. Step 4: Simplify right side
    3,714.46x = 11,496,216.89
  5. Step 5: Solve for x
    x = 11,496,216.89/3,714.46
  6. Step 6: Final answer
    x = 3,094.99

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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.