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Finding the Fourth Proportional to 3,485.68, 5,228.85 and 1,020.51

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Solution

The fourth proportional to 3,485.68, 5,228.85 and 1,020.51 is: 1,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.68 : 5,228.85 = 1,020.51 : x
  2. Step 2: Convert to fraction form
    3,485.68/5,228.85 = 1,020.51/x
  3. Step 3: Cross multiply
    3,485.68x = 5,228.85 × 1,020.51
  4. Step 4: Simplify right side
    3,485.68x = 5,336,093.71
  5. Step 5: Solve for x
    x = 5,336,093.71/3,485.68
  6. Step 6: Final answer
    x = 1,530.86

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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.