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Finding the Fourth Proportional to 5,646.36, 8,466.46 and 4,483.83

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Solution

The fourth proportional to 5,646.36, 8,466.46 and 4,483.83 is: 6,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.36 : 8,466.46 = 4,483.83 : x
  2. Step 2: Convert to fraction form
    5,646.36/8,466.46 = 4,483.83/x
  3. Step 3: Cross multiply
    5,646.36x = 8,466.46 × 4,483.83
  4. Step 4: Simplify right side
    5,646.36x = 37,962,167.34
  5. Step 5: Solve for x
    x = 37,962,167.34/5,646.36
  6. Step 6: Final answer
    x = 6,723.30

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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.