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Finding the Fourth Proportional to 3,473.16, 5,210.59 and 1,133.29

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Solution

The fourth proportional to 3,473.16, 5,210.59 and 1,133.29 is: 1,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.16 : 5,210.59 = 1,133.29 : x
  2. Step 2: Convert to fraction form
    3,473.16/5,210.59 = 1,133.29/x
  3. Step 3: Cross multiply
    3,473.16x = 5,210.59 × 1,133.29
  4. Step 4: Simplify right side
    3,473.16x = 5,905,077.82
  5. Step 5: Solve for x
    x = 5,905,077.82/3,473.16
  6. Step 6: Final answer
    x = 1,700.21

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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.