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Finding the Fourth Proportional to 2,993.68, 4,459.44 and 2,829.52

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Solution

The fourth proportional to 2,993.68, 4,459.44 and 2,829.52 is: 4,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.68 : 4,459.44 = 2,829.52 : x
  2. Step 2: Convert to fraction form
    2,993.68/4,459.44 = 2,829.52/x
  3. Step 3: Cross multiply
    2,993.68x = 4,459.44 × 2,829.52
  4. Step 4: Simplify right side
    2,993.68x = 12,618,074.67
  5. Step 5: Solve for x
    x = 12,618,074.67/2,993.68
  6. Step 6: Final answer
    x = 4,214.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.