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Finding the Fourth Proportional to 3,564.52, 4,914.54 and 2,303.44

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Solution

The fourth proportional to 3,564.52, 4,914.54 and 2,303.44 is: 3,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.52 : 4,914.54 = 2,303.44 : x
  2. Step 2: Convert to fraction form
    3,564.52/4,914.54 = 2,303.44/x
  3. Step 3: Cross multiply
    3,564.52x = 4,914.54 × 2,303.44
  4. Step 4: Simplify right side
    3,564.52x = 11,320,348.02
  5. Step 5: Solve for x
    x = 11,320,348.02/3,564.52
  6. Step 6: Final answer
    x = 3,175.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.