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Finding the Fourth Proportional to 3,714.58, 5,564.65 and 2,066.13

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Solution

The fourth proportional to 3,714.58, 5,564.65 and 2,066.13 is: 3,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.58 : 5,564.65 = 2,066.13 : x
  2. Step 2: Convert to fraction form
    3,714.58/5,564.65 = 2,066.13/x
  3. Step 3: Cross multiply
    3,714.58x = 5,564.65 × 2,066.13
  4. Step 4: Simplify right side
    3,714.58x = 11,497,299.84
  5. Step 5: Solve for x
    x = 11,497,299.84/3,714.58
  6. Step 6: Final answer
    x = 3,095.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.