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Finding the Fourth Proportional to 3,802.09, 5,705.30 and 3,037.45

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Solution

The fourth proportional to 3,802.09, 5,705.30 and 3,037.45 is: 4,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.09 : 5,705.30 = 3,037.45 : x
  2. Step 2: Convert to fraction form
    3,802.09/5,705.30 = 3,037.45/x
  3. Step 3: Cross multiply
    3,802.09x = 5,705.30 × 3,037.45
  4. Step 4: Simplify right side
    3,802.09x = 17,329,563.49
  5. Step 5: Solve for x
    x = 17,329,563.49/3,802.09
  6. Step 6: Final answer
    x = 4,557.90

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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.