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Finding the Fourth Proportional to 3,473.42, 5,210.36 and 1,282.29

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Solution

The fourth proportional to 3,473.42, 5,210.36 and 1,282.29 is: 1,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.42 : 5,210.36 = 1,282.29 : x
  2. Step 2: Convert to fraction form
    3,473.42/5,210.36 = 1,282.29/x
  3. Step 3: Cross multiply
    3,473.42x = 5,210.36 × 1,282.29
  4. Step 4: Simplify right side
    3,473.42x = 6,681,186.11
  5. Step 5: Solve for x
    x = 6,681,186.11/3,473.42
  6. Step 6: Final answer
    x = 1,923.52

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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.