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Finding the Fourth Proportional to 3,802.30, 5,705.04 and 1,463.02

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Solution

The fourth proportional to 3,802.30, 5,705.04 and 1,463.02 is: 2,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.30 : 5,705.04 = 1,463.02 : x
  2. Step 2: Convert to fraction form
    3,802.30/5,705.04 = 1,463.02/x
  3. Step 3: Cross multiply
    3,802.30x = 5,705.04 × 1,463.02
  4. Step 4: Simplify right side
    3,802.30x = 8,346,587.62
  5. Step 5: Solve for x
    x = 8,346,587.62/3,802.30
  6. Step 6: Final answer
    x = 2,195.14

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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.