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Finding the Fourth Proportional to 3,656.24, 5,485.74 and 1,316.48

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Solution

The fourth proportional to 3,656.24, 5,485.74 and 1,316.48 is: 1,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.24 : 5,485.74 = 1,316.48 : x
  2. Step 2: Convert to fraction form
    3,656.24/5,485.74 = 1,316.48/x
  3. Step 3: Cross multiply
    3,656.24x = 5,485.74 × 1,316.48
  4. Step 4: Simplify right side
    3,656.24x = 7,221,867.00
  5. Step 5: Solve for x
    x = 7,221,867.00/3,656.24
  6. Step 6: Final answer
    x = 1,975.22

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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.