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Finding the Fourth Proportional to 4,296.04, 6,444.06 and 3,645.16

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Solution

The fourth proportional to 4,296.04, 6,444.06 and 3,645.16 is: 5,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.04 : 6,444.06 = 3,645.16 : x
  2. Step 2: Convert to fraction form
    4,296.04/6,444.06 = 3,645.16/x
  3. Step 3: Cross multiply
    4,296.04x = 6,444.06 × 3,645.16
  4. Step 4: Simplify right side
    4,296.04x = 23,489,629.75
  5. Step 5: Solve for x
    x = 23,489,629.75/4,296.04
  6. Step 6: Final answer
    x = 5,467.74

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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.