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Finding the Fourth Proportional to 3,802.45, 5,706.57 and 3,063.87

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Solution

The fourth proportional to 3,802.45, 5,706.57 and 3,063.87 is: 4,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.45 : 5,706.57 = 3,063.87 : x
  2. Step 2: Convert to fraction form
    3,802.45/5,706.57 = 3,063.87/x
  3. Step 3: Cross multiply
    3,802.45x = 5,706.57 × 3,063.87
  4. Step 4: Simplify right side
    3,802.45x = 17,484,160.09
  5. Step 5: Solve for x
    x = 17,484,160.09/3,802.45
  6. Step 6: Final answer
    x = 4,598.13

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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.