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Finding the Fourth Proportional to 8,993.35, 13,490 and 2,419.54

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Solution

The fourth proportional to 8,993.35, 13,490 and 2,419.54 is: 3,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.35 : 13,490 = 2,419.54 : x
  2. Step 2: Convert to fraction form
    8,993.35/13,490 = 2,419.54/x
  3. Step 3: Cross multiply
    8,993.35x = 13,490 × 2,419.54
  4. Step 4: Simplify right side
    8,993.35x = 32,639,594.60
  5. Step 5: Solve for x
    x = 32,639,594.60/8,993.35
  6. Step 6: Final answer
    x = 3,629.30

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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.