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Finding the Fourth Proportional to 3,504.01, 5,256.15 and 1,164.22

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Solution

The fourth proportional to 3,504.01, 5,256.15 and 1,164.22 is: 1,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.01 : 5,256.15 = 1,164.22 : x
  2. Step 2: Convert to fraction form
    3,504.01/5,256.15 = 1,164.22/x
  3. Step 3: Cross multiply
    3,504.01x = 5,256.15 × 1,164.22
  4. Step 4: Simplify right side
    3,504.01x = 6,119,314.95
  5. Step 5: Solve for x
    x = 6,119,314.95/3,504.01
  6. Step 6: Final answer
    x = 1,746.37

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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.