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Finding the Fourth Proportional to 3,698.57, 5,095.34 and 2,577.47

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Solution

The fourth proportional to 3,698.57, 5,095.34 and 2,577.47 is: 3,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.57 : 5,095.34 = 2,577.47 : x
  2. Step 2: Convert to fraction form
    3,698.57/5,095.34 = 2,577.47/x
  3. Step 3: Cross multiply
    3,698.57x = 5,095.34 × 2,577.47
  4. Step 4: Simplify right side
    3,698.57x = 13,133,079.70
  5. Step 5: Solve for x
    x = 13,133,079.70/3,698.57
  6. Step 6: Final answer
    x = 3,550.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.