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Finding the Fourth Proportional to 3,628.58, 5,441.51 and 1,030.64

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Solution

The fourth proportional to 3,628.58, 5,441.51 and 1,030.64 is: 1,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.58 : 5,441.51 = 1,030.64 : x
  2. Step 2: Convert to fraction form
    3,628.58/5,441.51 = 1,030.64/x
  3. Step 3: Cross multiply
    3,628.58x = 5,441.51 × 1,030.64
  4. Step 4: Simplify right side
    3,628.58x = 5,608,213.24
  5. Step 5: Solve for x
    x = 5,608,213.24/3,628.58
  6. Step 6: Final answer
    x = 1,545.57

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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.