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Finding the Fourth Proportional to 3,802.27, 5,703.37 and 1,029.22

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Solution

The fourth proportional to 3,802.27, 5,703.37 and 1,029.22 is: 1,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.27 : 5,703.37 = 1,029.22 : x
  2. Step 2: Convert to fraction form
    3,802.27/5,703.37 = 1,029.22/x
  3. Step 3: Cross multiply
    3,802.27x = 5,703.37 × 1,029.22
  4. Step 4: Simplify right side
    3,802.27x = 5,870,030.89
  5. Step 5: Solve for x
    x = 5,870,030.89/3,802.27
  6. Step 6: Final answer
    x = 1,543.82

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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.