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Finding the Fourth Proportional to 3,657.56, 5,486.59 and 1,548.81

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Solution

The fourth proportional to 3,657.56, 5,486.59 and 1,548.81 is: 2,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.56 : 5,486.59 = 1,548.81 : x
  2. Step 2: Convert to fraction form
    3,657.56/5,486.59 = 1,548.81/x
  3. Step 3: Cross multiply
    3,657.56x = 5,486.59 × 1,548.81
  4. Step 4: Simplify right side
    3,657.56x = 8,497,681.59
  5. Step 5: Solve for x
    x = 8,497,681.59/3,657.56
  6. Step 6: Final answer
    x = 2,323.32

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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.