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Finding the Fourth Proportional to 3,473.10, 5,210.06 and 1,525.05

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Solution

The fourth proportional to 3,473.10, 5,210.06 and 1,525.05 is: 2,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.10 : 5,210.06 = 1,525.05 : x
  2. Step 2: Convert to fraction form
    3,473.10/5,210.06 = 1,525.05/x
  3. Step 3: Cross multiply
    3,473.10x = 5,210.06 × 1,525.05
  4. Step 4: Simplify right side
    3,473.10x = 7,945,594.38
  5. Step 5: Solve for x
    x = 7,945,594.38/3,473.10
  6. Step 6: Final answer
    x = 2,287.75

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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.