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Finding the Fourth Proportional to 3,802.65, 5,703.93 and 1,337.46

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Solution

The fourth proportional to 3,802.65, 5,703.93 and 1,337.46 is: 2,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.65 : 5,703.93 = 1,337.46 : x
  2. Step 2: Convert to fraction form
    3,802.65/5,703.93 = 1,337.46/x
  3. Step 3: Cross multiply
    3,802.65x = 5,703.93 × 1,337.46
  4. Step 4: Simplify right side
    3,802.65x = 7,628,778.22
  5. Step 5: Solve for x
    x = 7,628,778.22/3,802.65
  6. Step 6: Final answer
    x = 2,006.17

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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.