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Finding the Fourth Proportional to 3,657.51, 5,487.33 and 1,317.47

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Solution

The fourth proportional to 3,657.51, 5,487.33 and 1,317.47 is: 1,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.51 : 5,487.33 = 1,317.47 : x
  2. Step 2: Convert to fraction form
    3,657.51/5,487.33 = 1,317.47/x
  3. Step 3: Cross multiply
    3,657.51x = 5,487.33 × 1,317.47
  4. Step 4: Simplify right side
    3,657.51x = 7,229,380.86
  5. Step 5: Solve for x
    x = 7,229,380.86/3,657.51
  6. Step 6: Final answer
    x = 1,976.59

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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.