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Finding the Fourth Proportional to 3,475.12, 5,212.02 and 1,009.36

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Solution

The fourth proportional to 3,475.12, 5,212.02 and 1,009.36 is: 1,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.12 : 5,212.02 = 1,009.36 : x
  2. Step 2: Convert to fraction form
    3,475.12/5,212.02 = 1,009.36/x
  3. Step 3: Cross multiply
    3,475.12x = 5,212.02 × 1,009.36
  4. Step 4: Simplify right side
    3,475.12x = 5,260,804.51
  5. Step 5: Solve for x
    x = 5,260,804.51/3,475.12
  6. Step 6: Final answer
    x = 1,513.85

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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.