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Finding the Fourth Proportional to 4,403.68, 6,070.72 and 3,648

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Solution

The fourth proportional to 4,403.68, 6,070.72 and 3,648 is: 5,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,403.68 : 6,070.72 = 3,648 : x
  2. Step 2: Convert to fraction form
    4,403.68/6,070.72 = 3,648/x
  3. Step 3: Cross multiply
    4,403.68x = 6,070.72 × 3,648
  4. Step 4: Simplify right side
    4,403.68x = 22,145,986.56
  5. Step 5: Solve for x
    x = 22,145,986.56/4,403.68
  6. Step 6: Final answer
    x = 5,028.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.