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Finding the Fourth Proportional to 3,473.59, 5,210.93 and 1,133.05

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Solution

The fourth proportional to 3,473.59, 5,210.93 and 1,133.05 is: 1,699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.59 : 5,210.93 = 1,133.05 : x
  2. Step 2: Convert to fraction form
    3,473.59/5,210.93 = 1,133.05/x
  3. Step 3: Cross multiply
    3,473.59x = 5,210.93 × 1,133.05
  4. Step 4: Simplify right side
    3,473.59x = 5,904,252.09
  5. Step 5: Solve for x
    x = 5,904,252.09/3,473.59
  6. Step 6: Final answer
    x = 1,699.76

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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.