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Finding the Fourth Proportional to 3,474.07, 5,210.02 and 1,009.06

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Solution

The fourth proportional to 3,474.07, 5,210.02 and 1,009.06 is: 1,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.07 : 5,210.02 = 1,009.06 : x
  2. Step 2: Convert to fraction form
    3,474.07/5,210.02 = 1,009.06/x
  3. Step 3: Cross multiply
    3,474.07x = 5,210.02 × 1,009.06
  4. Step 4: Simplify right side
    3,474.07x = 5,257,222.78
  5. Step 5: Solve for x
    x = 5,257,222.78/3,474.07
  6. Step 6: Final answer
    x = 1,513.27

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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.