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Finding the Fourth Proportional to 3,656.42, 5,483.52 and 3,071.60

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Solution

The fourth proportional to 3,656.42, 5,483.52 and 3,071.60 is: 4,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.42 : 5,483.52 = 3,071.60 : x
  2. Step 2: Convert to fraction form
    3,656.42/5,483.52 = 3,071.60/x
  3. Step 3: Cross multiply
    3,656.42x = 5,483.52 × 3,071.60
  4. Step 4: Simplify right side
    3,656.42x = 16,843,180.03
  5. Step 5: Solve for x
    x = 16,843,180.03/3,656.42
  6. Step 6: Final answer
    x = 4,606.47

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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.