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Finding the Fourth Proportional to 3,714.66, 5,573.59 and 1,864.82

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Solution

The fourth proportional to 3,714.66, 5,573.59 and 1,864.82 is: 2,798.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.66 : 5,573.59 = 1,864.82 : x
  2. Step 2: Convert to fraction form
    3,714.66/5,573.59 = 1,864.82/x
  3. Step 3: Cross multiply
    3,714.66x = 5,573.59 × 1,864.82
  4. Step 4: Simplify right side
    3,714.66x = 10,393,742.10
  5. Step 5: Solve for x
    x = 10,393,742.10/3,714.66
  6. Step 6: Final answer
    x = 2,798.03

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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.