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Finding the Fourth Proportional to 3,564.03, 5,346.09 and 1,714.80

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Solution

The fourth proportional to 3,564.03, 5,346.09 and 1,714.80 is: 2,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.03 : 5,346.09 = 1,714.80 : x
  2. Step 2: Convert to fraction form
    3,564.03/5,346.09 = 1,714.80/x
  3. Step 3: Cross multiply
    3,564.03x = 5,346.09 × 1,714.80
  4. Step 4: Simplify right side
    3,564.03x = 9,167,475.13
  5. Step 5: Solve for x
    x = 9,167,475.13/3,564.03
  6. Step 6: Final answer
    x = 2,572.22

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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.