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Finding the Fourth Proportional to 5,645.36, 7,782.36 and 4,464.56

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Solution

The fourth proportional to 5,645.36, 7,782.36 and 4,464.56 is: 6,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.36 : 7,782.36 = 4,464.56 : x
  2. Step 2: Convert to fraction form
    5,645.36/7,782.36 = 4,464.56/x
  3. Step 3: Cross multiply
    5,645.36x = 7,782.36 × 4,464.56
  4. Step 4: Simplify right side
    5,645.36x = 34,744,813.16
  5. Step 5: Solve for x
    x = 34,744,813.16/5,645.36
  6. Step 6: Final answer
    x = 6,154.58

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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.