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Finding the Fourth Proportional to 3,802.44, 5,699.79 and 2,569.98

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Solution

The fourth proportional to 3,802.44, 5,699.79 and 2,569.98 is: 3,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.44 : 5,699.79 = 2,569.98 : x
  2. Step 2: Convert to fraction form
    3,802.44/5,699.79 = 2,569.98/x
  3. Step 3: Cross multiply
    3,802.44x = 5,699.79 × 2,569.98
  4. Step 4: Simplify right side
    3,802.44x = 14,648,342.85
  5. Step 5: Solve for x
    x = 14,648,342.85/3,802.44
  6. Step 6: Final answer
    x = 3,852.35

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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.