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Finding the Fourth Proportional to 5,628.53, 8,427.60 and 3,775.66

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Solution

The fourth proportional to 5,628.53, 8,427.60 and 3,775.66 is: 5,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.53 : 8,427.60 = 3,775.66 : x
  2. Step 2: Convert to fraction form
    5,628.53/8,427.60 = 3,775.66/x
  3. Step 3: Cross multiply
    5,628.53x = 8,427.60 × 3,775.66
  4. Step 4: Simplify right side
    5,628.53x = 31,819,752.22
  5. Step 5: Solve for x
    x = 31,819,752.22/5,628.53
  6. Step 6: Final answer
    x = 5,653.30

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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.