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Finding the Fourth Proportional to 3,504.37, 5,256.54 and 1,164.55

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Solution

The fourth proportional to 3,504.37, 5,256.54 and 1,164.55 is: 1,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.37 : 5,256.54 = 1,164.55 : x
  2. Step 2: Convert to fraction form
    3,504.37/5,256.54 = 1,164.55/x
  3. Step 3: Cross multiply
    3,504.37x = 5,256.54 × 1,164.55
  4. Step 4: Simplify right side
    3,504.37x = 6,121,503.66
  5. Step 5: Solve for x
    x = 6,121,503.66/3,504.37
  6. Step 6: Final answer
    x = 1,746.82

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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.