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Finding the Fourth Proportional to 3,657.06, 5,487.68 and 1,548.52

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Solution

The fourth proportional to 3,657.06, 5,487.68 and 1,548.52 is: 2,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.06 : 5,487.68 = 1,548.52 : x
  2. Step 2: Convert to fraction form
    3,657.06/5,487.68 = 1,548.52/x
  3. Step 3: Cross multiply
    3,657.06x = 5,487.68 × 1,548.52
  4. Step 4: Simplify right side
    3,657.06x = 8,497,782.23
  5. Step 5: Solve for x
    x = 8,497,782.23/3,657.06
  6. Step 6: Final answer
    x = 2,323.66

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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.