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Finding the Fourth Proportional to 3,802.53, 5,705.11 and 1,582.56

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Solution

The fourth proportional to 3,802.53, 5,705.11 and 1,582.56 is: 2,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.53 : 5,705.11 = 1,582.56 : x
  2. Step 2: Convert to fraction form
    3,802.53/5,705.11 = 1,582.56/x
  3. Step 3: Cross multiply
    3,802.53x = 5,705.11 × 1,582.56
  4. Step 4: Simplify right side
    3,802.53x = 9,028,678.88
  5. Step 5: Solve for x
    x = 9,028,678.88/3,802.53
  6. Step 6: Final answer
    x = 2,374.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.